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Finding the Third Proportional to 127,532 and 278,377

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Solution

The third proportional to 127,532 and 278,377 is: 607,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,532 : 278,377 = 278,377 : x
  2. Step 2: Convert to fraction form
    127,532/278,377 = 278,377/x
  3. Step 3: Cross multiply
    127,532x = 278,377 × 278,377
  4. Step 4: Simplify right side
    127,532x = 77,493,754,129
  5. Step 5: Solve for x
    x = 77,493,754,129/127,532
  6. Step 6: Final answer
    x = 607,641.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.