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Finding the Third Proportional to 54,527 and 79,990

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Solution

The third proportional to 54,527 and 79,990 is: 117,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,527 : 79,990 = 79,990 : x
  2. Step 2: Convert to fraction form
    54,527/79,990 = 79,990/x
  3. Step 3: Cross multiply
    54,527x = 79,990 × 79,990
  4. Step 4: Simplify right side
    54,527x = 6,398,400,100
  5. Step 5: Solve for x
    x = 6,398,400,100/54,527
  6. Step 6: Final answer
    x = 117,343.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.