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Finding the Third Proportional to 256,905.75 and 359,169

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Solution

The third proportional to 256,905.75 and 359,169 is: 502,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,905.75 : 359,169 = 359,169 : x
  2. Step 2: Convert to fraction form
    256,905.75/359,169 = 359,169/x
  3. Step 3: Cross multiply
    256,905.75x = 359,169 × 359,169
  4. Step 4: Simplify right side
    256,905.75x = 129,002,370,561
  5. Step 5: Solve for x
    x = 129,002,370,561/256,905.75
  6. Step 6: Final answer
    x = 502,138.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.