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Finding the Third Proportional to 496,784,686,318 and 1,080,611,190,428

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Solution

The third proportional to 496,784,686,318 and 1,080,611,190,428 is: 2,350,556,643,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,784,686,318 : 1,080,611,190,428 = 1,080,611,190,428 : x
  2. Step 2: Convert to fraction form
    496,784,686,318/1,080,611,190,428 = 1,080,611,190,428/x
  3. Step 3: Cross multiply
    496,784,686,318x = 1,080,611,190,428 × 1,080,611,190,428
  4. Step 4: Simplify right side
    496,784,686,318x = 1,167,720,544,878,219,302,535,168
  5. Step 5: Solve for x
    x = 1,167,720,544,878,219,302,535,168/496,784,686,318
  6. Step 6: Final answer
    x = 2,350,556,643,629.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.