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Finding the Third Proportional to 129,638.25 and 277,259.25

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Solution

The third proportional to 129,638.25 and 277,259.25 is: 592,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,638.25 : 277,259.25 = 277,259.25 : x
  2. Step 2: Convert to fraction form
    129,638.25/277,259.25 = 277,259.25/x
  3. Step 3: Cross multiply
    129,638.25x = 277,259.25 × 277,259.25
  4. Step 4: Simplify right side
    129,638.25x = 76,872,691,710.56
  5. Step 5: Solve for x
    x = 76,872,691,710.56/129,638.25
  6. Step 6: Final answer
    x = 592,978.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.