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Finding the Third Proportional to 77,520.75 and 105,206.75

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Solution

The third proportional to 77,520.75 and 105,206.75 is: 142,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,520.75 : 105,206.75 = 105,206.75 : x
  2. Step 2: Convert to fraction form
    77,520.75/105,206.75 = 105,206.75/x
  3. Step 3: Cross multiply
    77,520.75x = 105,206.75 × 105,206.75
  4. Step 4: Simplify right side
    77,520.75x = 11,068,460,245.56
  5. Step 5: Solve for x
    x = 11,068,460,245.56/77,520.75
  6. Step 6: Final answer
    x = 142,780.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.