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Finding the Third Proportional to 327,987 and 505,990.13

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Solution

The third proportional to 327,987 and 505,990.13 is: 780,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,987 : 505,990.13 = 505,990.13 : x
  2. Step 2: Convert to fraction form
    327,987/505,990.13 = 505,990.13/x
  3. Step 3: Cross multiply
    327,987x = 505,990.13 × 505,990.13
  4. Step 4: Simplify right side
    327,987x = 256,026,006,597.52
  5. Step 5: Solve for x
    x = 256,026,006,597.52/327,987
  6. Step 6: Final answer
    x = 780,598.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.