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Finding the Third Proportional to 309,850.31 and 656,899.88

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Solution

The third proportional to 309,850.31 and 656,899.88 is: 1,392,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,850.31 : 656,899.88 = 656,899.88 : x
  2. Step 2: Convert to fraction form
    309,850.31/656,899.88 = 656,899.88/x
  3. Step 3: Cross multiply
    309,850.31x = 656,899.88 × 656,899.88
  4. Step 4: Simplify right side
    309,850.31x = 431,517,445,775.02
  5. Step 5: Solve for x
    x = 431,517,445,775.02/309,850.31
  6. Step 6: Final answer
    x = 1,392,664.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.