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Finding the Third Proportional to 298,793.25 and 647,371.13

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Solution

The third proportional to 298,793.25 and 647,371.13 is: 1,402,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,793.25 : 647,371.13 = 647,371.13 : x
  2. Step 2: Convert to fraction form
    298,793.25/647,371.13 = 647,371.13/x
  3. Step 3: Cross multiply
    298,793.25x = 647,371.13 × 647,371.13
  4. Step 4: Simplify right side
    298,793.25x = 419,089,373,483.77
  5. Step 5: Solve for x
    x = 419,089,373,483.77/298,793.25
  6. Step 6: Final answer
    x = 1,402,606.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.