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Finding the Third Proportional to 261,929 and 387,982

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Solution

The third proportional to 261,929 and 387,982 is: 574,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,929 : 387,982 = 387,982 : x
  2. Step 2: Convert to fraction form
    261,929/387,982 = 387,982/x
  3. Step 3: Cross multiply
    261,929x = 387,982 × 387,982
  4. Step 4: Simplify right side
    261,929x = 150,530,032,324
  5. Step 5: Solve for x
    x = 150,530,032,324/261,929
  6. Step 6: Final answer
    x = 574,697.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.