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Finding the Third Proportional to 395,939 and 637,487

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Solution

The third proportional to 395,939 and 637,487 is: 1,026,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,939 : 637,487 = 637,487 : x
  2. Step 2: Convert to fraction form
    395,939/637,487 = 637,487/x
  3. Step 3: Cross multiply
    395,939x = 637,487 × 637,487
  4. Step 4: Simplify right side
    395,939x = 406,389,675,169
  5. Step 5: Solve for x
    x = 406,389,675,169/395,939
  6. Step 6: Final answer
    x = 1,026,394.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.