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Finding the Third Proportional to 77,874.75 and 122,023.13

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Solution

The third proportional to 77,874.75 and 122,023.13 is: 191,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,874.75 : 122,023.13 = 122,023.13 : x
  2. Step 2: Convert to fraction form
    77,874.75/122,023.13 = 122,023.13/x
  3. Step 3: Cross multiply
    77,874.75x = 122,023.13 × 122,023.13
  4. Step 4: Simplify right side
    77,874.75x = 14,889,643,034.77
  5. Step 5: Solve for x
    x = 14,889,643,034.77/77,874.75
  6. Step 6: Final answer
    x = 191,199.88

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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.