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Finding the Third Proportional to 128,076 and 187,962

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Solution

The third proportional to 128,076 and 187,962 is: 275,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,076 : 187,962 = 187,962 : x
  2. Step 2: Convert to fraction form
    128,076/187,962 = 187,962/x
  3. Step 3: Cross multiply
    128,076x = 187,962 × 187,962
  4. Step 4: Simplify right side
    128,076x = 35,329,713,444
  5. Step 5: Solve for x
    x = 35,329,713,444/128,076
  6. Step 6: Final answer
    x = 275,849.60

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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.