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Finding the Third Proportional to 360,645 and 561,380

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Solution

The third proportional to 360,645 and 561,380 is: 873,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,645 : 561,380 = 561,380 : x
  2. Step 2: Convert to fraction form
    360,645/561,380 = 561,380/x
  3. Step 3: Cross multiply
    360,645x = 561,380 × 561,380
  4. Step 4: Simplify right side
    360,645x = 315,147,504,400
  5. Step 5: Solve for x
    x = 315,147,504,400/360,645
  6. Step 6: Final answer
    x = 873,844.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.