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Finding the Third Proportional to 135,332 and 291,400

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Solution

The third proportional to 135,332 and 291,400 is: 627,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,332 : 291,400 = 291,400 : x
  2. Step 2: Convert to fraction form
    135,332/291,400 = 291,400/x
  3. Step 3: Cross multiply
    135,332x = 291,400 × 291,400
  4. Step 4: Simplify right side
    135,332x = 84,913,960,000
  5. Step 5: Solve for x
    x = 84,913,960,000/135,332
  6. Step 6: Final answer
    x = 627,449.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.