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Finding the Third Proportional to 128,577.38 and 142,929.56

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Solution

The third proportional to 128,577.38 and 142,929.56 is: 158,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,577.38 : 142,929.56 = 142,929.56 : x
  2. Step 2: Convert to fraction form
    128,577.38/142,929.56 = 142,929.56/x
  3. Step 3: Cross multiply
    128,577.38x = 142,929.56 × 142,929.56
  4. Step 4: Simplify right side
    128,577.38x = 20,428,859,836.44
  5. Step 5: Solve for x
    x = 20,428,859,836.44/128,577.38
  6. Step 6: Final answer
    x = 158,883.78

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.