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Finding the Third Proportional to 77,511.94 and 109,708.88

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Solution

The third proportional to 77,511.94 and 109,708.88 is: 155,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,511.94 : 109,708.88 = 109,708.88 : x
  2. Step 2: Convert to fraction form
    77,511.94/109,708.88 = 109,708.88/x
  3. Step 3: Cross multiply
    77,511.94x = 109,708.88 × 109,708.88
  4. Step 4: Simplify right side
    77,511.94x = 12,036,037,253.77
  5. Step 5: Solve for x
    x = 12,036,037,253.77/77,511.94
  6. Step 6: Final answer
    x = 155,279.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.