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Finding the Third Proportional to 129,086 and 277,952

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Solution

The third proportional to 129,086 and 277,952 is: 598,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,086 : 277,952 = 277,952 : x
  2. Step 2: Convert to fraction form
    129,086/277,952 = 277,952/x
  3. Step 3: Cross multiply
    129,086x = 277,952 × 277,952
  4. Step 4: Simplify right side
    129,086x = 77,257,314,304
  5. Step 5: Solve for x
    x = 77,257,314,304/129,086
  6. Step 6: Final answer
    x = 598,494.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.