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Finding the Third Proportional to 388,318 and 830,622

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Solution

The third proportional to 388,318 and 830,622 is: 1,776,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,318 : 830,622 = 830,622 : x
  2. Step 2: Convert to fraction form
    388,318/830,622 = 830,622/x
  3. Step 3: Cross multiply
    388,318x = 830,622 × 830,622
  4. Step 4: Simplify right side
    388,318x = 689,932,906,884
  5. Step 5: Solve for x
    x = 689,932,906,884/388,318
  6. Step 6: Final answer
    x = 1,776,721.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.