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Finding the Third Proportional to 127,280 and 172,776

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Solution

The third proportional to 127,280 and 172,776 is: 234,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,280 : 172,776 = 172,776 : x
  2. Step 2: Convert to fraction form
    127,280/172,776 = 172,776/x
  3. Step 3: Cross multiply
    127,280x = 172,776 × 172,776
  4. Step 4: Simplify right side
    127,280x = 29,851,546,176
  5. Step 5: Solve for x
    x = 29,851,546,176/127,280
  6. Step 6: Final answer
    x = 234,534.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.