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Finding the Third Proportional to 256,563 and 561,402

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Solution

The third proportional to 256,563 and 561,402 is: 1,228,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,563 : 561,402 = 561,402 : x
  2. Step 2: Convert to fraction form
    256,563/561,402 = 561,402/x
  3. Step 3: Cross multiply
    256,563x = 561,402 × 561,402
  4. Step 4: Simplify right side
    256,563x = 315,172,205,604
  5. Step 5: Solve for x
    x = 315,172,205,604/256,563
  6. Step 6: Final answer
    x = 1,228,439.82

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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.