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Finding the Third Proportional to 432,481.50 and 645,141.38

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Solution

The third proportional to 432,481.50 and 645,141.38 is: 962,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,481.50 : 645,141.38 = 645,141.38 : x
  2. Step 2: Convert to fraction form
    432,481.50/645,141.38 = 645,141.38/x
  3. Step 3: Cross multiply
    432,481.50x = 645,141.38 × 645,141.38
  4. Step 4: Simplify right side
    432,481.50x = 416,207,393,736.89
  5. Step 5: Solve for x
    x = 416,207,393,736.89/432,481.50
  6. Step 6: Final answer
    x = 962,370.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.