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Finding the Third Proportional to 132,464 and 283,867

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Solution

The third proportional to 132,464 and 283,867 is: 608,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,464 : 283,867 = 283,867 : x
  2. Step 2: Convert to fraction form
    132,464/283,867 = 283,867/x
  3. Step 3: Cross multiply
    132,464x = 283,867 × 283,867
  4. Step 4: Simplify right side
    132,464x = 80,580,473,689
  5. Step 5: Solve for x
    x = 80,580,473,689/132,464
  6. Step 6: Final answer
    x = 608,319.80

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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.