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Finding the Third Proportional to 115,446 and 172,707

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Solution

The third proportional to 115,446 and 172,707 is: 258,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,446 : 172,707 = 172,707 : x
  2. Step 2: Convert to fraction form
    115,446/172,707 = 172,707/x
  3. Step 3: Cross multiply
    115,446x = 172,707 × 172,707
  4. Step 4: Simplify right side
    115,446x = 29,827,707,849
  5. Step 5: Solve for x
    x = 29,827,707,849/115,446
  6. Step 6: Final answer
    x = 258,369.35

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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.