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Finding the Third Proportional to 256,018 and 558,620

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Solution

The third proportional to 256,018 and 558,620 is: 1,218,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,018 : 558,620 = 558,620 : x
  2. Step 2: Convert to fraction form
    256,018/558,620 = 558,620/x
  3. Step 3: Cross multiply
    256,018x = 558,620 × 558,620
  4. Step 4: Simplify right side
    256,018x = 312,056,304,400
  5. Step 5: Solve for x
    x = 312,056,304,400/256,018
  6. Step 6: Final answer
    x = 1,218,884.24

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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.