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Finding the Third Proportional to 360,960 and 561,126

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Solution

The third proportional to 360,960 and 561,126 is: 872,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,960 : 561,126 = 561,126 : x
  2. Step 2: Convert to fraction form
    360,960/561,126 = 561,126/x
  3. Step 3: Cross multiply
    360,960x = 561,126 × 561,126
  4. Step 4: Simplify right side
    360,960x = 314,862,387,876
  5. Step 5: Solve for x
    x = 314,862,387,876/360,960
  6. Step 6: Final answer
    x = 872,291.63

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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.