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Finding the Third Proportional to 158,765.75 and 218,708.50

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Solution

The third proportional to 158,765.75 and 218,708.50 is: 301,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,765.75 : 218,708.50 = 218,708.50 : x
  2. Step 2: Convert to fraction form
    158,765.75/218,708.50 = 218,708.50/x
  3. Step 3: Cross multiply
    158,765.75x = 218,708.50 × 218,708.50
  4. Step 4: Simplify right side
    158,765.75x = 47,833,407,972.25
  5. Step 5: Solve for x
    x = 47,833,407,972.25/158,765.75
  6. Step 6: Final answer
    x = 301,282.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.