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Finding the Third Proportional to 361,542 and 561,645

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Solution

The third proportional to 361,542 and 561,645 is: 872,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,542 : 561,645 = 561,645 : x
  2. Step 2: Convert to fraction form
    361,542/561,645 = 561,645/x
  3. Step 3: Cross multiply
    361,542x = 561,645 × 561,645
  4. Step 4: Simplify right side
    361,542x = 315,445,106,025
  5. Step 5: Solve for x
    x = 315,445,106,025/361,542
  6. Step 6: Final answer
    x = 872,499.20

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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.