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Finding the Third Proportional to 172,438 and 258,894

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Solution

The third proportional to 172,438 and 258,894 is: 388,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,438 : 258,894 = 258,894 : x
  2. Step 2: Convert to fraction form
    172,438/258,894 = 258,894/x
  3. Step 3: Cross multiply
    172,438x = 258,894 × 258,894
  4. Step 4: Simplify right side
    172,438x = 67,026,103,236
  5. Step 5: Solve for x
    x = 67,026,103,236/172,438
  6. Step 6: Final answer
    x = 388,696.83

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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.