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Finding the Third Proportional to 20,457.56 and 29,349.84

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Solution

The third proportional to 20,457.56 and 29,349.84 is: 42,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.56 : 29,349.84 = 29,349.84 : x
  2. Step 2: Convert to fraction form
    20,457.56/29,349.84 = 29,349.84/x
  3. Step 3: Cross multiply
    20,457.56x = 29,349.84 × 29,349.84
  4. Step 4: Simplify right side
    20,457.56x = 861,413,328.15
  5. Step 5: Solve for x
    x = 861,413,328.15/20,457.56
  6. Step 6: Final answer
    x = 42,107.33

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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.