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Finding the Third Proportional to 158,478 and 215,847

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Solution

The third proportional to 158,478 and 215,847 is: 293,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,478 : 215,847 = 215,847 : x
  2. Step 2: Convert to fraction form
    158,478/215,847 = 215,847/x
  3. Step 3: Cross multiply
    158,478x = 215,847 × 215,847
  4. Step 4: Simplify right side
    158,478x = 46,589,927,409
  5. Step 5: Solve for x
    x = 46,589,927,409/158,478
  6. Step 6: Final answer
    x = 293,983.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.