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Finding the Third Proportional to 363,872 and 561,360

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Solution

The third proportional to 363,872 and 561,360 is: 866,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,872 : 561,360 = 561,360 : x
  2. Step 2: Convert to fraction form
    363,872/561,360 = 561,360/x
  3. Step 3: Cross multiply
    363,872x = 561,360 × 561,360
  4. Step 4: Simplify right side
    363,872x = 315,125,049,600
  5. Step 5: Solve for x
    x = 315,125,049,600/363,872
  6. Step 6: Final answer
    x = 866,032.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.