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Finding the Third Proportional to 9,782 and 14,674

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Solution

The third proportional to 9,782 and 14,674 is: 22,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782 : 14,674 = 14,674 : x
  2. Step 2: Convert to fraction form
    9,782/14,674 = 14,674/x
  3. Step 3: Cross multiply
    9,782x = 14,674 × 14,674
  4. Step 4: Simplify right side
    9,782x = 215,326,276
  5. Step 5: Solve for x
    x = 215,326,276/9,782
  6. Step 6: Final answer
    x = 22,012.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.