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Finding the Third Proportional to 453,318 and 613,410

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Solution

The third proportional to 453,318 and 613,410 is: 830,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,318 : 613,410 = 613,410 : x
  2. Step 2: Convert to fraction form
    453,318/613,410 = 613,410/x
  3. Step 3: Cross multiply
    453,318x = 613,410 × 613,410
  4. Step 4: Simplify right side
    453,318x = 376,271,828,100
  5. Step 5: Solve for x
    x = 376,271,828,100/453,318
  6. Step 6: Final answer
    x = 830,039.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.