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Finding the Third Proportional to 20,840.50 and 29,781.50

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Solution

The third proportional to 20,840.50 and 29,781.50 is: 42,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840.50 : 29,781.50 = 29,781.50 : x
  2. Step 2: Convert to fraction form
    20,840.50/29,781.50 = 29,781.50/x
  3. Step 3: Cross multiply
    20,840.50x = 29,781.50 × 29,781.50
  4. Step 4: Simplify right side
    20,840.50x = 886,937,742.25
  5. Step 5: Solve for x
    x = 886,937,742.25/20,840.50
  6. Step 6: Final answer
    x = 42,558.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.