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Finding the Third Proportional to 256,865 and 557,500

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Solution

The third proportional to 256,865 and 557,500 is: 1,209,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,865 : 557,500 = 557,500 : x
  2. Step 2: Convert to fraction form
    256,865/557,500 = 557,500/x
  3. Step 3: Cross multiply
    256,865x = 557,500 × 557,500
  4. Step 4: Simplify right side
    256,865x = 310,806,250,000
  5. Step 5: Solve for x
    x = 310,806,250,000/256,865
  6. Step 6: Final answer
    x = 1,209,998.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.