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Finding the Third Proportional to 135,711 and 296,565.75

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Solution

The third proportional to 135,711 and 296,565.75 is: 648,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,711 : 296,565.75 = 296,565.75 : x
  2. Step 2: Convert to fraction form
    135,711/296,565.75 = 296,565.75/x
  3. Step 3: Cross multiply
    135,711x = 296,565.75 × 296,565.75
  4. Step 4: Simplify right side
    135,711x = 87,951,244,073.06
  5. Step 5: Solve for x
    x = 87,951,244,073.06/135,711
  6. Step 6: Final answer
    x = 648,077.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.