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Finding the Third Proportional to 511,484.50 and 852,438.75

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Solution

The third proportional to 511,484.50 and 852,438.75 is: 1,420,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,484.50 : 852,438.75 = 852,438.75 : x
  2. Step 2: Convert to fraction form
    511,484.50/852,438.75 = 852,438.75/x
  3. Step 3: Cross multiply
    511,484.50x = 852,438.75 × 852,438.75
  4. Step 4: Simplify right side
    511,484.50x = 726,651,822,501.56
  5. Step 5: Solve for x
    x = 726,651,822,501.56/511,484.50
  6. Step 6: Final answer
    x = 1,420,672.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.