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Finding the Third Proportional to 127,119 and 172,449

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Solution

The third proportional to 127,119 and 172,449 is: 233,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,119 : 172,449 = 172,449 : x
  2. Step 2: Convert to fraction form
    127,119/172,449 = 172,449/x
  3. Step 3: Cross multiply
    127,119x = 172,449 × 172,449
  4. Step 4: Simplify right side
    127,119x = 29,738,657,601
  5. Step 5: Solve for x
    x = 29,738,657,601/127,119
  6. Step 6: Final answer
    x = 233,943.45

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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.