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Finding the Third Proportional to 256,040 and 558,672

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Solution

The third proportional to 256,040 and 558,672 is: 1,219,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,040 : 558,672 = 558,672 : x
  2. Step 2: Convert to fraction form
    256,040/558,672 = 558,672/x
  3. Step 3: Cross multiply
    256,040x = 558,672 × 558,672
  4. Step 4: Simplify right side
    256,040x = 312,114,403,584
  5. Step 5: Solve for x
    x = 312,114,403,584/256,040
  6. Step 6: Final answer
    x = 1,219,006.42

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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.