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Finding the Third Proportional to 159,072 and 215,264

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Solution

The third proportional to 159,072 and 215,264 is: 291,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,072 : 215,264 = 215,264 : x
  2. Step 2: Convert to fraction form
    159,072/215,264 = 215,264/x
  3. Step 3: Cross multiply
    159,072x = 215,264 × 215,264
  4. Step 4: Simplify right side
    159,072x = 46,338,589,696
  5. Step 5: Solve for x
    x = 46,338,589,696/159,072
  6. Step 6: Final answer
    x = 291,305.76

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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.