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Finding the Third Proportional to 54,386 and 76,588

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Solution

The third proportional to 54,386 and 76,588 is: 107,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,386 : 76,588 = 76,588 : x
  2. Step 2: Convert to fraction form
    54,386/76,588 = 76,588/x
  3. Step 3: Cross multiply
    54,386x = 76,588 × 76,588
  4. Step 4: Simplify right side
    54,386x = 5,865,721,744
  5. Step 5: Solve for x
    x = 5,865,721,744/54,386
  6. Step 6: Final answer
    x = 107,853.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.