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Finding the Third Proportional to 298,793.50 and 645,125

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Solution

The third proportional to 298,793.50 and 645,125 is: 1,392,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,793.50 : 645,125 = 645,125 : x
  2. Step 2: Convert to fraction form
    298,793.50/645,125 = 645,125/x
  3. Step 3: Cross multiply
    298,793.50x = 645,125 × 645,125
  4. Step 4: Simplify right side
    298,793.50x = 416,186,265,625
  5. Step 5: Solve for x
    x = 416,186,265,625/298,793.50
  6. Step 6: Final answer
    x = 1,392,889.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.