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Finding the Third Proportional to 32,940 and 51,426

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Solution

The third proportional to 32,940 and 51,426 is: 80,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940 : 51,426 = 51,426 : x
  2. Step 2: Convert to fraction form
    32,940/51,426 = 51,426/x
  3. Step 3: Cross multiply
    32,940x = 51,426 × 51,426
  4. Step 4: Simplify right side
    32,940x = 2,644,633,476
  5. Step 5: Solve for x
    x = 2,644,633,476/32,940
  6. Step 6: Final answer
    x = 80,286.38

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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.