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Finding the Third Proportional to 53,540 and 83,277

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Solution

The third proportional to 53,540 and 83,277 is: 129,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,540 : 83,277 = 83,277 : x
  2. Step 2: Convert to fraction form
    53,540/83,277 = 83,277/x
  3. Step 3: Cross multiply
    53,540x = 83,277 × 83,277
  4. Step 4: Simplify right side
    53,540x = 6,935,058,729
  5. Step 5: Solve for x
    x = 6,935,058,729/53,540
  6. Step 6: Final answer
    x = 129,530.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.