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Finding the Third Proportional to 172,440 and 258,864

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Solution

The third proportional to 172,440 and 258,864 is: 388,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,440 : 258,864 = 258,864 : x
  2. Step 2: Convert to fraction form
    172,440/258,864 = 258,864/x
  3. Step 3: Cross multiply
    172,440x = 258,864 × 258,864
  4. Step 4: Simplify right side
    172,440x = 67,010,570,496
  5. Step 5: Solve for x
    x = 67,010,570,496/172,440
  6. Step 6: Final answer
    x = 388,602.24

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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.