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Finding the Third Proportional to 256,482 and 560,151

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Solution

The third proportional to 256,482 and 560,151 is: 1,223,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,482 : 560,151 = 560,151 : x
  2. Step 2: Convert to fraction form
    256,482/560,151 = 560,151/x
  3. Step 3: Cross multiply
    256,482x = 560,151 × 560,151
  4. Step 4: Simplify right side
    256,482x = 313,769,142,801
  5. Step 5: Solve for x
    x = 313,769,142,801/256,482
  6. Step 6: Final answer
    x = 1,223,357.36

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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.