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Finding the Third Proportional to 54,938 and 83,459

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Solution

The third proportional to 54,938 and 83,459 is: 126,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,938 : 83,459 = 83,459 : x
  2. Step 2: Convert to fraction form
    54,938/83,459 = 83,459/x
  3. Step 3: Cross multiply
    54,938x = 83,459 × 83,459
  4. Step 4: Simplify right side
    54,938x = 6,965,404,681
  5. Step 5: Solve for x
    x = 6,965,404,681/54,938
  6. Step 6: Final answer
    x = 126,786.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.