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Finding the Third Proportional to 115,458 and 172,723

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Solution

The third proportional to 115,458 and 172,723 is: 258,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,458 : 172,723 = 172,723 : x
  2. Step 2: Convert to fraction form
    115,458/172,723 = 172,723/x
  3. Step 3: Cross multiply
    115,458x = 172,723 × 172,723
  4. Step 4: Simplify right side
    115,458x = 29,833,234,729
  5. Step 5: Solve for x
    x = 29,833,234,729/115,458
  6. Step 6: Final answer
    x = 258,390.36

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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.