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Finding the Third Proportional to 77,074 and 91,330

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Solution

The third proportional to 77,074 and 91,330 is: 108,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074 : 91,330 = 91,330 : x
  2. Step 2: Convert to fraction form
    77,074/91,330 = 91,330/x
  3. Step 3: Cross multiply
    77,074x = 91,330 × 91,330
  4. Step 4: Simplify right side
    77,074x = 8,341,168,900
  5. Step 5: Solve for x
    x = 8,341,168,900/77,074
  6. Step 6: Final answer
    x = 108,222.86

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.