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Finding the Third Proportional to 561,486 and 863,913

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Solution

The third proportional to 561,486 and 863,913 is: 1,329,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,486 : 863,913 = 863,913 : x
  2. Step 2: Convert to fraction form
    561,486/863,913 = 863,913/x
  3. Step 3: Cross multiply
    561,486x = 863,913 × 863,913
  4. Step 4: Simplify right side
    561,486x = 746,345,671,569
  5. Step 5: Solve for x
    x = 746,345,671,569/561,486
  6. Step 6: Final answer
    x = 1,329,232.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.