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Finding the Third Proportional to 53,277 and 72,138

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Solution

The third proportional to 53,277 and 72,138 is: 97,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,277 : 72,138 = 72,138 : x
  2. Step 2: Convert to fraction form
    53,277/72,138 = 72,138/x
  3. Step 3: Cross multiply
    53,277x = 72,138 × 72,138
  4. Step 4: Simplify right side
    53,277x = 5,203,891,044
  5. Step 5: Solve for x
    x = 5,203,891,044/53,277
  6. Step 6: Final answer
    x = 97,676.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.