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Finding the Third Proportional to 331,009.88 and 511,485.75

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Solution

The third proportional to 331,009.88 and 511,485.75 is: 790,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,009.88 : 511,485.75 = 511,485.75 : x
  2. Step 2: Convert to fraction form
    331,009.88/511,485.75 = 511,485.75/x
  3. Step 3: Cross multiply
    331,009.88x = 511,485.75 × 511,485.75
  4. Step 4: Simplify right side
    331,009.88x = 261,617,672,453.06
  5. Step 5: Solve for x
    x = 261,617,672,453.06/331,009.88
  6. Step 6: Final answer
    x = 790,362.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.