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Finding the Third Proportional to 78,810.75 and 175,115.25

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Solution

The third proportional to 78,810.75 and 175,115.25 is: 389,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,810.75 : 175,115.25 = 175,115.25 : x
  2. Step 2: Convert to fraction form
    78,810.75/175,115.25 = 175,115.25/x
  3. Step 3: Cross multiply
    78,810.75x = 175,115.25 × 175,115.25
  4. Step 4: Simplify right side
    78,810.75x = 30,665,350,782.56
  5. Step 5: Solve for x
    x = 30,665,350,782.56/78,810.75
  6. Step 6: Final answer
    x = 389,101.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.