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Finding the Third Proportional to 131,748 and 198,780

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Solution

The third proportional to 131,748 and 198,780 is: 299,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,748 : 198,780 = 198,780 : x
  2. Step 2: Convert to fraction form
    131,748/198,780 = 198,780/x
  3. Step 3: Cross multiply
    131,748x = 198,780 × 198,780
  4. Step 4: Simplify right side
    131,748x = 39,513,488,400
  5. Step 5: Solve for x
    x = 39,513,488,400/131,748
  6. Step 6: Final answer
    x = 299,917.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.