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Finding the Third Proportional to 132,458 and 283,854.50

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Solution

The third proportional to 132,458 and 283,854.50 is: 608,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,458 : 283,854.50 = 283,854.50 : x
  2. Step 2: Convert to fraction form
    132,458/283,854.50 = 283,854.50/x
  3. Step 3: Cross multiply
    132,458x = 283,854.50 × 283,854.50
  4. Step 4: Simplify right side
    132,458x = 80,573,377,170.25
  5. Step 5: Solve for x
    x = 80,573,377,170.25/132,458
  6. Step 6: Final answer
    x = 608,293.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.