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Finding the Third Proportional to 129,126 and 278,999.50

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Solution

The third proportional to 129,126 and 278,999.50 is: 602,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,126 : 278,999.50 = 278,999.50 : x
  2. Step 2: Convert to fraction form
    129,126/278,999.50 = 278,999.50/x
  3. Step 3: Cross multiply
    129,126x = 278,999.50 × 278,999.50
  4. Step 4: Simplify right side
    129,126x = 77,840,721,000.25
  5. Step 5: Solve for x
    x = 77,840,721,000.25/129,126
  6. Step 6: Final answer
    x = 602,827.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.