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Finding the Third Proportional to 99,981 and 166,657.50

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Solution

The third proportional to 99,981 and 166,657.50 is: 277,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,981 : 166,657.50 = 166,657.50 : x
  2. Step 2: Convert to fraction form
    99,981/166,657.50 = 166,657.50/x
  3. Step 3: Cross multiply
    99,981x = 166,657.50 × 166,657.50
  4. Step 4: Simplify right side
    99,981x = 27,774,722,306.25
  5. Step 5: Solve for x
    x = 27,774,722,306.25/99,981
  6. Step 6: Final answer
    x = 277,800.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.