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Finding the Third Proportional to 9,691 and 20,527

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Solution

The third proportional to 9,691 and 20,527 is: 43,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691 : 20,527 = 20,527 : x
  2. Step 2: Convert to fraction form
    9,691/20,527 = 20,527/x
  3. Step 3: Cross multiply
    9,691x = 20,527 × 20,527
  4. Step 4: Simplify right side
    9,691x = 421,357,729
  5. Step 5: Solve for x
    x = 421,357,729/9,691
  6. Step 6: Final answer
    x = 43,479.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.