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Finding the Third Proportional to 256,368 and 558,864

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Solution

The third proportional to 256,368 and 558,864 is: 1,218,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,368 : 558,864 = 558,864 : x
  2. Step 2: Convert to fraction form
    256,368/558,864 = 558,864/x
  3. Step 3: Cross multiply
    256,368x = 558,864 × 558,864
  4. Step 4: Simplify right side
    256,368x = 312,328,970,496
  5. Step 5: Solve for x
    x = 312,328,970,496/256,368
  6. Step 6: Final answer
    x = 1,218,283.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.