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Finding the Third Proportional to 366,972 and 561,399

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Solution

The third proportional to 366,972 and 561,399 is: 858,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,972 : 561,399 = 561,399 : x
  2. Step 2: Convert to fraction form
    366,972/561,399 = 561,399/x
  3. Step 3: Cross multiply
    366,972x = 561,399 × 561,399
  4. Step 4: Simplify right side
    366,972x = 315,168,837,201
  5. Step 5: Solve for x
    x = 315,168,837,201/366,972
  6. Step 6: Final answer
    x = 858,836.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.