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Finding the Third Proportional to 78,781.88 and 168,638.25

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Solution

The third proportional to 78,781.88 and 168,638.25 is: 360,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,781.88 : 168,638.25 = 168,638.25 : x
  2. Step 2: Convert to fraction form
    78,781.88/168,638.25 = 168,638.25/x
  3. Step 3: Cross multiply
    78,781.88x = 168,638.25 × 168,638.25
  4. Step 4: Simplify right side
    78,781.88x = 28,438,859,363.06
  5. Step 5: Solve for x
    x = 28,438,859,363.06/78,781.88
  6. Step 6: Final answer
    x = 360,982.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.