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Finding the Third Proportional to 259,476 and 561,599

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Solution

The third proportional to 259,476 and 561,599 is: 1,215,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,476 : 561,599 = 561,599 : x
  2. Step 2: Convert to fraction form
    259,476/561,599 = 561,599/x
  3. Step 3: Cross multiply
    259,476x = 561,599 × 561,599
  4. Step 4: Simplify right side
    259,476x = 315,393,436,801
  5. Step 5: Solve for x
    x = 315,393,436,801/259,476
  6. Step 6: Final answer
    x = 1,215,501.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.