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Finding the Third Proportional to 287,992.25 and 387,693.75

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Solution

The third proportional to 287,992.25 and 387,693.75 is: 521,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,992.25 : 387,693.75 = 387,693.75 : x
  2. Step 2: Convert to fraction form
    287,992.25/387,693.75 = 387,693.75/x
  3. Step 3: Cross multiply
    287,992.25x = 387,693.75 × 387,693.75
  4. Step 4: Simplify right side
    287,992.25x = 150,306,443,789.06
  5. Step 5: Solve for x
    x = 150,306,443,789.06/287,992.25
  6. Step 6: Final answer
    x = 521,911.42

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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.