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Finding the Third Proportional to 132,214.78 and 198,614.53

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Solution

The third proportional to 132,214.78 and 198,614.53 is: 298,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,214.78 : 198,614.53 = 198,614.53 : x
  2. Step 2: Convert to fraction form
    132,214.78/198,614.53 = 198,614.53/x
  3. Step 3: Cross multiply
    132,214.78x = 198,614.53 × 198,614.53
  4. Step 4: Simplify right side
    132,214.78x = 39,447,732,023.66
  5. Step 5: Solve for x
    x = 39,447,732,023.66/132,214.78
  6. Step 6: Final answer
    x = 298,360.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.