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Finding the Third Proportional to 299,449.50 and 656,307

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Solution

The third proportional to 299,449.50 and 656,307 is: 1,438,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,449.50 : 656,307 = 656,307 : x
  2. Step 2: Convert to fraction form
    299,449.50/656,307 = 656,307/x
  3. Step 3: Cross multiply
    299,449.50x = 656,307 × 656,307
  4. Step 4: Simplify right side
    299,449.50x = 430,738,878,249
  5. Step 5: Solve for x
    x = 430,738,878,249/299,449.50
  6. Step 6: Final answer
    x = 1,438,435.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.