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Finding the Third Proportional to 395,930 and 637,473

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Solution

The third proportional to 395,930 and 637,473 is: 1,026,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,930 : 637,473 = 637,473 : x
  2. Step 2: Convert to fraction form
    395,930/637,473 = 637,473/x
  3. Step 3: Cross multiply
    395,930x = 637,473 × 637,473
  4. Step 4: Simplify right side
    395,930x = 406,371,825,729
  5. Step 5: Solve for x
    x = 406,371,825,729/395,930
  6. Step 6: Final answer
    x = 1,026,372.91

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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.