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Finding the Third Proportional to 9,781.50 and 20,643

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Solution

The third proportional to 9,781.50 and 20,643 is: 43,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.50 : 20,643 = 20,643 : x
  2. Step 2: Convert to fraction form
    9,781.50/20,643 = 20,643/x
  3. Step 3: Cross multiply
    9,781.50x = 20,643 × 20,643
  4. Step 4: Simplify right side
    9,781.50x = 426,133,449
  5. Step 5: Solve for x
    x = 426,133,449/9,781.50
  6. Step 6: Final answer
    x = 43,565.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.