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Finding the Third Proportional to 52,732 and 81,426

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Solution

The third proportional to 52,732 and 81,426 is: 125,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,732 : 81,426 = 81,426 : x
  2. Step 2: Convert to fraction form
    52,732/81,426 = 81,426/x
  3. Step 3: Cross multiply
    52,732x = 81,426 × 81,426
  4. Step 4: Simplify right side
    52,732x = 6,630,193,476
  5. Step 5: Solve for x
    x = 6,630,193,476/52,732
  6. Step 6: Final answer
    x = 125,733.78

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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.