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Finding the Third Proportional to 561,469 and 1,217,529

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Solution

The third proportional to 561,469 and 1,217,529 is: 2,640,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,469 : 1,217,529 = 1,217,529 : x
  2. Step 2: Convert to fraction form
    561,469/1,217,529 = 1,217,529/x
  3. Step 3: Cross multiply
    561,469x = 1,217,529 × 1,217,529
  4. Step 4: Simplify right side
    561,469x = 1,482,376,865,841
  5. Step 5: Solve for x
    x = 1,482,376,865,841/561,469
  6. Step 6: Final answer
    x = 2,640,175.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.