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Finding the Third Proportional to 419,572 and 645,287

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Solution

The third proportional to 419,572 and 645,287 is: 992,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,572 : 645,287 = 645,287 : x
  2. Step 2: Convert to fraction form
    419,572/645,287 = 645,287/x
  3. Step 3: Cross multiply
    419,572x = 645,287 × 645,287
  4. Step 4: Simplify right side
    419,572x = 416,395,312,369
  5. Step 5: Solve for x
    x = 416,395,312,369/419,572
  6. Step 6: Final answer
    x = 992,428.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.