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Finding the Third Proportional to 54,396 and 85,421

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Solution

The third proportional to 54,396 and 85,421 is: 134,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,396 : 85,421 = 85,421 : x
  2. Step 2: Convert to fraction form
    54,396/85,421 = 85,421/x
  3. Step 3: Cross multiply
    54,396x = 85,421 × 85,421
  4. Step 4: Simplify right side
    54,396x = 7,296,747,241
  5. Step 5: Solve for x
    x = 7,296,747,241/54,396
  6. Step 6: Final answer
    x = 134,141.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.