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Finding the Third Proportional to 216,864 and 328,320

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Solution

The third proportional to 216,864 and 328,320 is: 497,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,864 : 328,320 = 328,320 : x
  2. Step 2: Convert to fraction form
    216,864/328,320 = 328,320/x
  3. Step 3: Cross multiply
    216,864x = 328,320 × 328,320
  4. Step 4: Simplify right side
    216,864x = 107,794,022,400
  5. Step 5: Solve for x
    x = 107,794,022,400/216,864
  6. Step 6: Final answer
    x = 497,058.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.