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Finding the Third Proportional to 256,560 and 561,396

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Solution

The third proportional to 256,560 and 561,396 is: 1,228,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,560 : 561,396 = 561,396 : x
  2. Step 2: Convert to fraction form
    256,560/561,396 = 561,396/x
  3. Step 3: Cross multiply
    256,560x = 561,396 × 561,396
  4. Step 4: Simplify right side
    256,560x = 315,165,468,816
  5. Step 5: Solve for x
    x = 315,165,468,816/256,560
  6. Step 6: Final answer
    x = 1,228,427.93

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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.