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Finding the Third Proportional to 419,877 and 645,428.25

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Solution

The third proportional to 419,877 and 645,428.25 is: 992,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,877 : 645,428.25 = 645,428.25 : x
  2. Step 2: Convert to fraction form
    419,877/645,428.25 = 645,428.25/x
  3. Step 3: Cross multiply
    419,877x = 645,428.25 × 645,428.25
  4. Step 4: Simplify right side
    419,877x = 416,577,625,898.06
  5. Step 5: Solve for x
    x = 416,577,625,898.06/419,877
  6. Step 6: Final answer
    x = 992,142.05

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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.