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Finding the Third Proportional to 55,085 and 87,548

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Solution

The third proportional to 55,085 and 87,548 is: 139,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,085 : 87,548 = 87,548 : x
  2. Step 2: Convert to fraction form
    55,085/87,548 = 87,548/x
  3. Step 3: Cross multiply
    55,085x = 87,548 × 87,548
  4. Step 4: Simplify right side
    55,085x = 7,664,652,304
  5. Step 5: Solve for x
    x = 7,664,652,304/55,085
  6. Step 6: Final answer
    x = 139,142.28

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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.