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Finding the Third Proportional to 561,790 and 880,337

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Solution

The third proportional to 561,790 and 880,337 is: 1,379,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,790 : 880,337 = 880,337 : x
  2. Step 2: Convert to fraction form
    561,790/880,337 = 880,337/x
  3. Step 3: Cross multiply
    561,790x = 880,337 × 880,337
  4. Step 4: Simplify right side
    561,790x = 774,993,233,569
  5. Step 5: Solve for x
    x = 774,993,233,569/561,790
  6. Step 6: Final answer
    x = 1,379,506.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.