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Finding the Third Proportional to 561,082 and 869,199

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Solution

The third proportional to 561,082 and 869,199 is: 1,346,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,082 : 869,199 = 869,199 : x
  2. Step 2: Convert to fraction form
    561,082/869,199 = 869,199/x
  3. Step 3: Cross multiply
    561,082x = 869,199 × 869,199
  4. Step 4: Simplify right side
    561,082x = 755,506,901,601
  5. Step 5: Solve for x
    x = 755,506,901,601/561,082
  6. Step 6: Final answer
    x = 1,346,517.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.