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Finding the Third Proportional to 84,514 and 129,916

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Solution

The third proportional to 84,514 and 129,916 is: 199,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,514 : 129,916 = 129,916 : x
  2. Step 2: Convert to fraction form
    84,514/129,916 = 129,916/x
  3. Step 3: Cross multiply
    84,514x = 129,916 × 129,916
  4. Step 4: Simplify right side
    84,514x = 16,878,167,056
  5. Step 5: Solve for x
    x = 16,878,167,056/84,514
  6. Step 6: Final answer
    x = 199,708.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.