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Finding the Third Proportional to 159,001 and 215,173.50

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Solution

The third proportional to 159,001 and 215,173.50 is: 291,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,001 : 215,173.50 = 215,173.50 : x
  2. Step 2: Convert to fraction form
    159,001/215,173.50 = 215,173.50/x
  3. Step 3: Cross multiply
    159,001x = 215,173.50 × 215,173.50
  4. Step 4: Simplify right side
    159,001x = 46,299,635,102.25
  5. Step 5: Solve for x
    x = 46,299,635,102.25/159,001
  6. Step 6: Final answer
    x = 291,190.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.