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Finding the Third Proportional to 9,572.40 and 20,682.53

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Solution

The third proportional to 9,572.40 and 20,682.53 is: 44,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.40 : 20,682.53 = 20,682.53 : x
  2. Step 2: Convert to fraction form
    9,572.40/20,682.53 = 20,682.53/x
  3. Step 3: Cross multiply
    9,572.40x = 20,682.53 × 20,682.53
  4. Step 4: Simplify right side
    9,572.40x = 427,766,937.32
  5. Step 5: Solve for x
    x = 427,766,937.32/9,572.40
  6. Step 6: Final answer
    x = 44,687.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.