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Finding the Third Proportional to 78,632,785.13 and 123,082,891.88

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Solution

The third proportional to 78,632,785.13 and 123,082,891.88 is: 192,660,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,632,785.13 : 123,082,891.88 = 123,082,891.88 : x
  2. Step 2: Convert to fraction form
    78,632,785.13/123,082,891.88 = 123,082,891.88/x
  3. Step 3: Cross multiply
    78,632,785.13x = 123,082,891.88 × 123,082,891.88
  4. Step 4: Simplify right side
    78,632,785.13x = 15,149,398,272,312,942
  5. Step 5: Solve for x
    x = 15,149,398,272,312,942/78,632,785.13
  6. Step 6: Final answer
    x = 192,660,074.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.