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Finding the Third Proportional to 77,517 and 109,715.77

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Solution

The third proportional to 77,517 and 109,715.77 is: 155,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,517 : 109,715.77 = 109,715.77 : x
  2. Step 2: Convert to fraction form
    77,517/109,715.77 = 109,715.77/x
  3. Step 3: Cross multiply
    77,517x = 109,715.77 × 109,715.77
  4. Step 4: Simplify right side
    77,517x = 12,037,549,226.68
  5. Step 5: Solve for x
    x = 12,037,549,226.68/77,517
  6. Step 6: Final answer
    x = 155,289.15

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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.