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Finding the Third Proportional to 40,356 and 61,686

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Solution

The third proportional to 40,356 and 61,686 is: 94,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,356 : 61,686 = 61,686 : x
  2. Step 2: Convert to fraction form
    40,356/61,686 = 61,686/x
  3. Step 3: Cross multiply
    40,356x = 61,686 × 61,686
  4. Step 4: Simplify right side
    40,356x = 3,805,162,596
  5. Step 5: Solve for x
    x = 3,805,162,596/40,356
  6. Step 6: Final answer
    x = 94,289.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.