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Finding the Third Proportional to 78,457.13 and 171,493.13

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Solution

The third proportional to 78,457.13 and 171,493.13 is: 374,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,457.13 : 171,493.13 = 171,493.13 : x
  2. Step 2: Convert to fraction form
    78,457.13/171,493.13 = 171,493.13/x
  3. Step 3: Cross multiply
    78,457.13x = 171,493.13 × 171,493.13
  4. Step 4: Simplify right side
    78,457.13x = 29,409,891,922.27
  5. Step 5: Solve for x
    x = 29,409,891,922.27/78,457.13
  6. Step 6: Final answer
    x = 374,853.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.