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Finding the Third Proportional to 395,943 and 637,494

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Solution

The third proportional to 395,943 and 637,494 is: 1,026,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,943 : 637,494 = 637,494 : x
  2. Step 2: Convert to fraction form
    395,943/637,494 = 637,494/x
  3. Step 3: Cross multiply
    395,943x = 637,494 × 637,494
  4. Step 4: Simplify right side
    395,943x = 406,398,600,036
  5. Step 5: Solve for x
    x = 406,398,600,036/395,943
  6. Step 6: Final answer
    x = 1,026,406.83

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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.