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Finding the Third Proportional to 511,992 and 689,242.50

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Solution

The third proportional to 511,992 and 689,242.50 is: 927,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,992 : 689,242.50 = 689,242.50 : x
  2. Step 2: Convert to fraction form
    511,992/689,242.50 = 689,242.50/x
  3. Step 3: Cross multiply
    511,992x = 689,242.50 × 689,242.50
  4. Step 4: Simplify right side
    511,992x = 475,055,223,806.25
  5. Step 5: Solve for x
    x = 475,055,223,806.25/511,992
  6. Step 6: Final answer
    x = 927,856.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.