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Finding the Third Proportional to 295,837.31 and 647,989.88

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Solution

The third proportional to 295,837.31 and 647,989.88 is: 1,419,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,837.31 : 647,989.88 = 647,989.88 : x
  2. Step 2: Convert to fraction form
    295,837.31/647,989.88 = 647,989.88/x
  3. Step 3: Cross multiply
    295,837.31x = 647,989.88 × 647,989.88
  4. Step 4: Simplify right side
    295,837.31x = 419,890,878,102.52
  5. Step 5: Solve for x
    x = 419,890,878,102.52/295,837.31
  6. Step 6: Final answer
    x = 1,419,330.36

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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.