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Finding the Third Proportional to 77,479.50 and 109,671

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Solution

The third proportional to 77,479.50 and 109,671 is: 155,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,479.50 : 109,671 = 109,671 : x
  2. Step 2: Convert to fraction form
    77,479.50/109,671 = 109,671/x
  3. Step 3: Cross multiply
    77,479.50x = 109,671 × 109,671
  4. Step 4: Simplify right side
    77,479.50x = 12,027,728,241
  5. Step 5: Solve for x
    x = 12,027,728,241/77,479.50
  6. Step 6: Final answer
    x = 155,237.56

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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.