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Finding the Third Proportional to 115,080 and 172,116

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Solution

The third proportional to 115,080 and 172,116 is: 257,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,080 : 172,116 = 172,116 : x
  2. Step 2: Convert to fraction form
    115,080/172,116 = 172,116/x
  3. Step 3: Cross multiply
    115,080x = 172,116 × 172,116
  4. Step 4: Simplify right side
    115,080x = 29,623,917,456
  5. Step 5: Solve for x
    x = 29,623,917,456/115,080
  6. Step 6: Final answer
    x = 257,420.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.