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Finding the Third Proportional to 666,490.50 and 952,414.88

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Solution

The third proportional to 666,490.50 and 952,414.88 is: 1,361,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,490.50 : 952,414.88 = 952,414.88 : x
  2. Step 2: Convert to fraction form
    666,490.50/952,414.88 = 952,414.88/x
  3. Step 3: Cross multiply
    666,490.50x = 952,414.88 × 952,414.88
  4. Step 4: Simplify right side
    666,490.50x = 907,094,094,121.27
  5. Step 5: Solve for x
    x = 907,094,094,121.27/666,490.50
  6. Step 6: Final answer
    x = 1,361,000.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.