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Finding the Third Proportional to 132,782 and 286,696

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Solution

The third proportional to 132,782 and 286,696 is: 619,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,782 : 286,696 = 286,696 : x
  2. Step 2: Convert to fraction form
    132,782/286,696 = 286,696/x
  3. Step 3: Cross multiply
    132,782x = 286,696 × 286,696
  4. Step 4: Simplify right side
    132,782x = 82,194,596,416
  5. Step 5: Solve for x
    x = 82,194,596,416/132,782
  6. Step 6: Final answer
    x = 619,019.12

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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.