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Finding the Third Proportional to 360,641 and 561,374

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Solution

The third proportional to 360,641 and 561,374 is: 873,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,641 : 561,374 = 561,374 : x
  2. Step 2: Convert to fraction form
    360,641/561,374 = 561,374/x
  3. Step 3: Cross multiply
    360,641x = 561,374 × 561,374
  4. Step 4: Simplify right side
    360,641x = 315,140,767,876
  5. Step 5: Solve for x
    x = 315,140,767,876/360,641
  6. Step 6: Final answer
    x = 873,835.11

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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.