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Finding the Third Proportional to 132,323 and 286,517

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Solution

The third proportional to 132,323 and 286,517 is: 620,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,323 : 286,517 = 286,517 : x
  2. Step 2: Convert to fraction form
    132,323/286,517 = 286,517/x
  3. Step 3: Cross multiply
    132,323x = 286,517 × 286,517
  4. Step 4: Simplify right side
    132,323x = 82,091,991,289
  5. Step 5: Solve for x
    x = 82,091,991,289/132,323
  6. Step 6: Final answer
    x = 620,390.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.