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Finding the Third Proportional to 132,912 and 197,448

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Solution

The third proportional to 132,912 and 197,448 is: 293,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,912 : 197,448 = 197,448 : x
  2. Step 2: Convert to fraction form
    132,912/197,448 = 197,448/x
  3. Step 3: Cross multiply
    132,912x = 197,448 × 197,448
  4. Step 4: Simplify right side
    132,912x = 38,985,712,704
  5. Step 5: Solve for x
    x = 38,985,712,704/132,912
  6. Step 6: Final answer
    x = 293,319.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.