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Finding the Third Proportional to 511,657.50 and 783,081

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Solution

The third proportional to 511,657.50 and 783,081 is: 1,198,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,657.50 : 783,081 = 783,081 : x
  2. Step 2: Convert to fraction form
    511,657.50/783,081 = 783,081/x
  3. Step 3: Cross multiply
    511,657.50x = 783,081 × 783,081
  4. Step 4: Simplify right side
    511,657.50x = 613,215,852,561
  5. Step 5: Solve for x
    x = 613,215,852,561/511,657.50
  6. Step 6: Final answer
    x = 1,198,488.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.