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Finding the Third Proportional to 640,360 and 927,474

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Solution

The third proportional to 640,360 and 927,474 is: 1,343,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,360 : 927,474 = 927,474 : x
  2. Step 2: Convert to fraction form
    640,360/927,474 = 927,474/x
  3. Step 3: Cross multiply
    640,360x = 927,474 × 927,474
  4. Step 4: Simplify right side
    640,360x = 860,208,020,676
  5. Step 5: Solve for x
    x = 860,208,020,676/640,360
  6. Step 6: Final answer
    x = 1,343,319.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.