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Finding the Third Proportional to 489,105 and 729,145.13

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Solution

The third proportional to 489,105 and 729,145.13 is: 1,086,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,105 : 729,145.13 = 729,145.13 : x
  2. Step 2: Convert to fraction form
    489,105/729,145.13 = 729,145.13/x
  3. Step 3: Cross multiply
    489,105x = 729,145.13 × 729,145.13
  4. Step 4: Simplify right side
    489,105x = 531,652,613,311.27
  5. Step 5: Solve for x
    x = 531,652,613,311.27/489,105
  6. Step 6: Final answer
    x = 1,086,990.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.