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Finding the Third Proportional to 256,363.10 and 558,855.70

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Solution

The third proportional to 256,363.10 and 558,855.70 is: 1,218,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,363.10 : 558,855.70 = 558,855.70 : x
  2. Step 2: Convert to fraction form
    256,363.10/558,855.70 = 558,855.70/x
  3. Step 3: Cross multiply
    256,363.10x = 558,855.70 × 558,855.70
  4. Step 4: Simplify right side
    256,363.10x = 312,319,696,915.34
  5. Step 5: Solve for x
    x = 312,319,696,915.34/256,363.10
  6. Step 6: Final answer
    x = 1,218,270.86

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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.