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Finding the Third Proportional to 55,731 and 84,663

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Solution

The third proportional to 55,731 and 84,663 is: 128,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,731 : 84,663 = 84,663 : x
  2. Step 2: Convert to fraction form
    55,731/84,663 = 84,663/x
  3. Step 3: Cross multiply
    55,731x = 84,663 × 84,663
  4. Step 4: Simplify right side
    55,731x = 7,167,823,569
  5. Step 5: Solve for x
    x = 7,167,823,569/55,731
  6. Step 6: Final answer
    x = 128,614.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.