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Finding the Third Proportional to 256,890 and 340,863

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Solution

The third proportional to 256,890 and 340,863 is: 452,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,890 : 340,863 = 340,863 : x
  2. Step 2: Convert to fraction form
    256,890/340,863 = 340,863/x
  3. Step 3: Cross multiply
    256,890x = 340,863 × 340,863
  4. Step 4: Simplify right side
    256,890x = 116,187,584,769
  5. Step 5: Solve for x
    x = 116,187,584,769/256,890
  6. Step 6: Final answer
    x = 452,285.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.