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Finding the Third Proportional to 132,340 and 312,359

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Solution

The third proportional to 132,340 and 312,359 is: 737,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,340 : 312,359 = 312,359 : x
  2. Step 2: Convert to fraction form
    132,340/312,359 = 312,359/x
  3. Step 3: Cross multiply
    132,340x = 312,359 × 312,359
  4. Step 4: Simplify right side
    132,340x = 97,568,144,881
  5. Step 5: Solve for x
    x = 97,568,144,881/132,340
  6. Step 6: Final answer
    x = 737,253.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.