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Finding the Third Proportional to 55,178 and 87,681

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Solution

The third proportional to 55,178 and 87,681 is: 139,330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178 : 87,681 = 87,681 : x
  2. Step 2: Convert to fraction form
    55,178/87,681 = 87,681/x
  3. Step 3: Cross multiply
    55,178x = 87,681 × 87,681
  4. Step 4: Simplify right side
    55,178x = 7,687,957,761
  5. Step 5: Solve for x
    x = 7,687,957,761/55,178
  6. Step 6: Final answer
    x = 139,330.13

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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.