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Finding the Third Proportional to 91,770 and 120,942

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Solution

The third proportional to 91,770 and 120,942 is: 159,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,770 : 120,942 = 120,942 : x
  2. Step 2: Convert to fraction form
    91,770/120,942 = 120,942/x
  3. Step 3: Cross multiply
    91,770x = 120,942 × 120,942
  4. Step 4: Simplify right side
    91,770x = 14,626,967,364
  5. Step 5: Solve for x
    x = 14,626,967,364/91,770
  6. Step 6: Final answer
    x = 159,387.24

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.