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Finding the Third Proportional to 172,960 and 258,368

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Solution

The third proportional to 172,960 and 258,368 is: 385,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,960 : 258,368 = 258,368 : x
  2. Step 2: Convert to fraction form
    172,960/258,368 = 258,368/x
  3. Step 3: Cross multiply
    172,960x = 258,368 × 258,368
  4. Step 4: Simplify right side
    172,960x = 66,754,023,424
  5. Step 5: Solve for x
    x = 66,754,023,424/172,960
  6. Step 6: Final answer
    x = 385,950.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.