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Finding the Third Proportional to 132,778 and 286,684

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Solution

The third proportional to 132,778 and 286,684 is: 618,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,778 : 286,684 = 286,684 : x
  2. Step 2: Convert to fraction form
    132,778/286,684 = 286,684/x
  3. Step 3: Cross multiply
    132,778x = 286,684 × 286,684
  4. Step 4: Simplify right side
    132,778x = 82,187,715,856
  5. Step 5: Solve for x
    x = 82,187,715,856/132,778
  6. Step 6: Final answer
    x = 618,985.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.