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Finding the Third Proportional to 130,899 and 277,377

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Solution

The third proportional to 130,899 and 277,377 is: 587,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,899 : 277,377 = 277,377 : x
  2. Step 2: Convert to fraction form
    130,899/277,377 = 277,377/x
  3. Step 3: Cross multiply
    130,899x = 277,377 × 277,377
  4. Step 4: Simplify right side
    130,899x = 76,938,000,129
  5. Step 5: Solve for x
    x = 76,938,000,129/130,899
  6. Step 6: Final answer
    x = 587,766.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.