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Finding the Third Proportional to 415,087 and 626,441

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Solution

The third proportional to 415,087 and 626,441 is: 945,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,087 : 626,441 = 626,441 : x
  2. Step 2: Convert to fraction form
    415,087/626,441 = 626,441/x
  3. Step 3: Cross multiply
    415,087x = 626,441 × 626,441
  4. Step 4: Simplify right side
    415,087x = 392,428,326,481
  5. Step 5: Solve for x
    x = 392,428,326,481/415,087
  6. Step 6: Final answer
    x = 945,412.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.