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Finding the Third Proportional to 415,638 and 644,841

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Solution

The third proportional to 415,638 and 644,841 is: 1,000,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,638 : 644,841 = 644,841 : x
  2. Step 2: Convert to fraction form
    415,638/644,841 = 644,841/x
  3. Step 3: Cross multiply
    415,638x = 644,841 × 644,841
  4. Step 4: Simplify right side
    415,638x = 415,819,915,281
  5. Step 5: Solve for x
    x = 415,819,915,281/415,638
  6. Step 6: Final answer
    x = 1,000,437.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.