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Finding the Third Proportional to 127,617 and 187,479

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Solution

The third proportional to 127,617 and 187,479 is: 275,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,617 : 187,479 = 187,479 : x
  2. Step 2: Convert to fraction form
    127,617/187,479 = 187,479/x
  3. Step 3: Cross multiply
    127,617x = 187,479 × 187,479
  4. Step 4: Simplify right side
    127,617x = 35,148,375,441
  5. Step 5: Solve for x
    x = 35,148,375,441/127,617
  6. Step 6: Final answer
    x = 275,420.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.