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Finding the Third Proportional to 131,712 and 198,704

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Solution

The third proportional to 131,712 and 198,704 is: 299,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,712 : 198,704 = 198,704 : x
  2. Step 2: Convert to fraction form
    131,712/198,704 = 198,704/x
  3. Step 3: Cross multiply
    131,712x = 198,704 × 198,704
  4. Step 4: Simplify right side
    131,712x = 39,483,279,616
  5. Step 5: Solve for x
    x = 39,483,279,616/131,712
  6. Step 6: Final answer
    x = 299,769.80

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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.