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Finding the Third Proportional to 256,266 and 560,808

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Solution

The third proportional to 256,266 and 560,808 is: 1,227,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,266 : 560,808 = 560,808 : x
  2. Step 2: Convert to fraction form
    256,266/560,808 = 560,808/x
  3. Step 3: Cross multiply
    256,266x = 560,808 × 560,808
  4. Step 4: Simplify right side
    256,266x = 314,505,612,864
  5. Step 5: Solve for x
    x = 314,505,612,864/256,266
  6. Step 6: Final answer
    x = 1,227,262.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.