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Finding the Third Proportional to 77,166.56 and 104,220.84

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Solution

The third proportional to 77,166.56 and 104,220.84 is: 140,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,166.56 : 104,220.84 = 104,220.84 : x
  2. Step 2: Convert to fraction form
    77,166.56/104,220.84 = 104,220.84/x
  3. Step 3: Cross multiply
    77,166.56x = 104,220.84 × 104,220.84
  4. Step 4: Simplify right side
    77,166.56x = 10,861,984,271.96
  5. Step 5: Solve for x
    x = 10,861,984,271.96/77,166.56
  6. Step 6: Final answer
    x = 140,760.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.