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Finding the Third Proportional to 239,085.07 and 505,155.18

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Solution

The third proportional to 239,085.07 and 505,155.18 is: 1,067,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,085.07 : 505,155.18 = 505,155.18 : x
  2. Step 2: Convert to fraction form
    239,085.07/505,155.18 = 505,155.18/x
  3. Step 3: Cross multiply
    239,085.07x = 505,155.18 × 505,155.18
  4. Step 4: Simplify right side
    239,085.07x = 255,181,750,878.58
  5. Step 5: Solve for x
    x = 255,181,750,878.58/239,085.07
  6. Step 6: Final answer
    x = 1,067,326.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.