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Finding the Third Proportional to 77,638.50 and 79,035.75

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Solution

The third proportional to 77,638.50 and 79,035.75 is: 80,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,638.50 : 79,035.75 = 79,035.75 : x
  2. Step 2: Convert to fraction form
    77,638.50/79,035.75 = 79,035.75/x
  3. Step 3: Cross multiply
    77,638.50x = 79,035.75 × 79,035.75
  4. Step 4: Simplify right side
    77,638.50x = 6,246,649,778.06
  5. Step 5: Solve for x
    x = 6,246,649,778.06/77,638.50
  6. Step 6: Final answer
    x = 80,458.15

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Why These Related Problems?

These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.