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Finding the Third Proportional to 54,111 and 75,681

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Solution

The third proportional to 54,111 and 75,681 is: 105,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,111 : 75,681 = 75,681 : x
  2. Step 2: Convert to fraction form
    54,111/75,681 = 75,681/x
  3. Step 3: Cross multiply
    54,111x = 75,681 × 75,681
  4. Step 4: Simplify right side
    54,111x = 5,727,613,761
  5. Step 5: Solve for x
    x = 5,727,613,761/54,111
  6. Step 6: Final answer
    x = 105,849.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.