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Finding the Third Proportional to 40,364 and 79,690

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Solution

The third proportional to 40,364 and 79,690 is: 157,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,364 : 79,690 = 79,690 : x
  2. Step 2: Convert to fraction form
    40,364/79,690 = 79,690/x
  3. Step 3: Cross multiply
    40,364x = 79,690 × 79,690
  4. Step 4: Simplify right side
    40,364x = 6,350,496,100
  5. Step 5: Solve for x
    x = 6,350,496,100/40,364
  6. Step 6: Final answer
    x = 157,330.69

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.