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Finding the Third Proportional to 256,270 and 560,816

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Solution

The third proportional to 256,270 and 560,816 is: 1,227,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,270 : 560,816 = 560,816 : x
  2. Step 2: Convert to fraction form
    256,270/560,816 = 560,816/x
  3. Step 3: Cross multiply
    256,270x = 560,816 × 560,816
  4. Step 4: Simplify right side
    256,270x = 314,514,585,856
  5. Step 5: Solve for x
    x = 314,514,585,856/256,270
  6. Step 6: Final answer
    x = 1,227,278.21

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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.