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Finding the Third Proportional to 129,531.75 and 278,746.88

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Solution

The third proportional to 129,531.75 and 278,746.88 is: 599,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,531.75 : 278,746.88 = 278,746.88 : x
  2. Step 2: Convert to fraction form
    129,531.75/278,746.88 = 278,746.88/x
  3. Step 3: Cross multiply
    129,531.75x = 278,746.88 × 278,746.88
  4. Step 4: Simplify right side
    129,531.75x = 77,699,820,322.27
  5. Step 5: Solve for x
    x = 77,699,820,322.27/129,531.75
  6. Step 6: Final answer
    x = 599,851.54

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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.