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Finding the Third Proportional to 132,716 and 291,320

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Solution

The third proportional to 132,716 and 291,320 is: 639,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,716 : 291,320 = 291,320 : x
  2. Step 2: Convert to fraction form
    132,716/291,320 = 291,320/x
  3. Step 3: Cross multiply
    132,716x = 291,320 × 291,320
  4. Step 4: Simplify right side
    132,716x = 84,867,342,400
  5. Step 5: Solve for x
    x = 84,867,342,400/132,716
  6. Step 6: Final answer
    x = 639,465.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.