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Finding the Third Proportional to 89,278 and 143,542

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Solution

The third proportional to 89,278 and 143,542 is: 230,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,278 : 143,542 = 143,542 : x
  2. Step 2: Convert to fraction form
    89,278/143,542 = 143,542/x
  3. Step 3: Cross multiply
    89,278x = 143,542 × 143,542
  4. Step 4: Simplify right side
    89,278x = 20,604,305,764
  5. Step 5: Solve for x
    x = 20,604,305,764/89,278
  6. Step 6: Final answer
    x = 230,788.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.