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Finding the Third Proportional to 243,078.75 and 367,972.31

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Solution

The third proportional to 243,078.75 and 367,972.31 is: 557,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,078.75 : 367,972.31 = 367,972.31 : x
  2. Step 2: Convert to fraction form
    243,078.75/367,972.31 = 367,972.31/x
  3. Step 3: Cross multiply
    243,078.75x = 367,972.31 × 367,972.31
  4. Step 4: Simplify right side
    243,078.75x = 135,403,622,766.60
  5. Step 5: Solve for x
    x = 135,403,622,766.60/243,078.75
  6. Step 6: Final answer
    x = 557,036.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.