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Finding the Third Proportional to 78,750 and 172,810

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Solution

The third proportional to 78,750 and 172,810 is: 379,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,750 : 172,810 = 172,810 : x
  2. Step 2: Convert to fraction form
    78,750/172,810 = 172,810/x
  3. Step 3: Cross multiply
    78,750x = 172,810 × 172,810
  4. Step 4: Simplify right side
    78,750x = 29,863,296,100
  5. Step 5: Solve for x
    x = 29,863,296,100/78,750
  6. Step 6: Final answer
    x = 379,216.46

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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.