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Finding the Third Proportional to 128,797 and 187,347

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Solution

The third proportional to 128,797 and 187,347 is: 272,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,797 : 187,347 = 187,347 : x
  2. Step 2: Convert to fraction form
    128,797/187,347 = 187,347/x
  3. Step 3: Cross multiply
    128,797x = 187,347 × 187,347
  4. Step 4: Simplify right side
    128,797x = 35,098,898,409
  5. Step 5: Solve for x
    x = 35,098,898,409/128,797
  6. Step 6: Final answer
    x = 272,513.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.