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Finding the Third Proportional to 80,724 and 110,812.50

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Solution

The third proportional to 80,724 and 110,812.50 is: 152,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,724 : 110,812.50 = 110,812.50 : x
  2. Step 2: Convert to fraction form
    80,724/110,812.50 = 110,812.50/x
  3. Step 3: Cross multiply
    80,724x = 110,812.50 × 110,812.50
  4. Step 4: Simplify right side
    80,724x = 12,279,410,156.25
  5. Step 5: Solve for x
    x = 12,279,410,156.25/80,724
  6. Step 6: Final answer
    x = 152,115.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.