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Finding the Third Proportional to 115,431 and 172,686

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Solution

The third proportional to 115,431 and 172,686 is: 258,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,431 : 172,686 = 172,686 : x
  2. Step 2: Convert to fraction form
    115,431/172,686 = 172,686/x
  3. Step 3: Cross multiply
    115,431x = 172,686 × 172,686
  4. Step 4: Simplify right side
    115,431x = 29,820,454,596
  5. Step 5: Solve for x
    x = 29,820,454,596/115,431
  6. Step 6: Final answer
    x = 258,340.09

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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.