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Finding the Third Proportional to 256,420 and 561,098

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Solution

The third proportional to 256,420 and 561,098 is: 1,227,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,420 : 561,098 = 561,098 : x
  2. Step 2: Convert to fraction form
    256,420/561,098 = 561,098/x
  3. Step 3: Cross multiply
    256,420x = 561,098 × 561,098
  4. Step 4: Simplify right side
    256,420x = 314,830,965,604
  5. Step 5: Solve for x
    x = 314,830,965,604/256,420
  6. Step 6: Final answer
    x = 1,227,794.11

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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.