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Finding the Third Proportional to 825,472.13 and 1,100,733.75

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Solution

The third proportional to 825,472.13 and 1,100,733.75 is: 1,467,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,472.13 : 1,100,733.75 = 1,100,733.75 : x
  2. Step 2: Convert to fraction form
    825,472.13/1,100,733.75 = 1,100,733.75/x
  3. Step 3: Cross multiply
    825,472.13x = 1,100,733.75 × 1,100,733.75
  4. Step 4: Simplify right side
    825,472.13x = 1,211,614,788,389.06
  5. Step 5: Solve for x
    x = 1,211,614,788,389.06/825,472.13
  6. Step 6: Final answer
    x = 1,467,784.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.