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Finding the Third Proportional to 489,234.75 and 746,506.13

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Solution

The third proportional to 489,234.75 and 746,506.13 is: 1,139,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,234.75 : 746,506.13 = 746,506.13 : x
  2. Step 2: Convert to fraction form
    489,234.75/746,506.13 = 746,506.13/x
  3. Step 3: Cross multiply
    489,234.75x = 746,506.13 × 746,506.13
  4. Step 4: Simplify right side
    489,234.75x = 557,271,394,662.52
  5. Step 5: Solve for x
    x = 557,271,394,662.52/489,234.75
  6. Step 6: Final answer
    x = 1,139,067.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.