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Finding the Third Proportional to 99,711 and 133,285.50

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Solution

The third proportional to 99,711 and 133,285.50 is: 178,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,711 : 133,285.50 = 133,285.50 : x
  2. Step 2: Convert to fraction form
    99,711/133,285.50 = 133,285.50/x
  3. Step 3: Cross multiply
    99,711x = 133,285.50 × 133,285.50
  4. Step 4: Simplify right side
    99,711x = 17,765,024,510.25
  5. Step 5: Solve for x
    x = 17,765,024,510.25/99,711
  6. Step 6: Final answer
    x = 178,165.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.