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Finding the Third Proportional to 132,384 and 312,253.50

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Solution

The third proportional to 132,384 and 312,253.50 is: 736,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,384 : 312,253.50 = 312,253.50 : x
  2. Step 2: Convert to fraction form
    132,384/312,253.50 = 312,253.50/x
  3. Step 3: Cross multiply
    132,384x = 312,253.50 × 312,253.50
  4. Step 4: Simplify right side
    132,384x = 97,502,248,262.25
  5. Step 5: Solve for x
    x = 97,502,248,262.25/132,384
  6. Step 6: Final answer
    x = 736,510.82

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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.