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Finding the Third Proportional to 55,082 and 87,543

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Solution

The third proportional to 55,082 and 87,543 is: 139,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,082 : 87,543 = 87,543 : x
  2. Step 2: Convert to fraction form
    55,082/87,543 = 87,543/x
  3. Step 3: Cross multiply
    55,082x = 87,543 × 87,543
  4. Step 4: Simplify right side
    55,082x = 7,663,776,849
  5. Step 5: Solve for x
    x = 7,663,776,849/55,082
  6. Step 6: Final answer
    x = 139,133.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.