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Finding the Third Proportional to 51,372 and 81,513

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Solution

The third proportional to 51,372 and 81,513 is: 129,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,372 : 81,513 = 81,513 : x
  2. Step 2: Convert to fraction form
    51,372/81,513 = 81,513/x
  3. Step 3: Cross multiply
    51,372x = 81,513 × 81,513
  4. Step 4: Simplify right side
    51,372x = 6,644,369,169
  5. Step 5: Solve for x
    x = 6,644,369,169/51,372
  6. Step 6: Final answer
    x = 129,338.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.