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Finding the Third Proportional to 54,860 and 81,931.13

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Solution

The third proportional to 54,860 and 81,931.13 is: 122,360.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,860 : 81,931.13 = 81,931.13 : x
  2. Step 2: Convert to fraction form
    54,860/81,931.13 = 81,931.13/x
  3. Step 3: Cross multiply
    54,860x = 81,931.13 × 81,931.13
  4. Step 4: Simplify right side
    54,860x = 6,712,709,243.77
  5. Step 5: Solve for x
    x = 6,712,709,243.77/54,860
  6. Step 6: Final answer
    x = 122,360.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.