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Finding the Third Proportional to 132,498 and 312,574.50

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Solution

The third proportional to 132,498 and 312,574.50 is: 737,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,498 : 312,574.50 = 312,574.50 : x
  2. Step 2: Convert to fraction form
    132,498/312,574.50 = 312,574.50/x
  3. Step 3: Cross multiply
    132,498x = 312,574.50 × 312,574.50
  4. Step 4: Simplify right side
    132,498x = 97,702,818,050.25
  5. Step 5: Solve for x
    x = 97,702,818,050.25/132,498
  6. Step 6: Final answer
    x = 737,390.89

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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.