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Finding the Third Proportional to 77,990 and 120,981

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Solution

The third proportional to 77,990 and 120,981 is: 187,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,990 : 120,981 = 120,981 : x
  2. Step 2: Convert to fraction form
    77,990/120,981 = 120,981/x
  3. Step 3: Cross multiply
    77,990x = 120,981 × 120,981
  4. Step 4: Simplify right side
    77,990x = 14,636,402,361
  5. Step 5: Solve for x
    x = 14,636,402,361/77,990
  6. Step 6: Final answer
    x = 187,670.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.