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Finding the Third Proportional to 420,805.13 and 894,169.13

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Solution

The third proportional to 420,805.13 and 894,169.13 is: 1,900,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,805.13 : 894,169.13 = 894,169.13 : x
  2. Step 2: Convert to fraction form
    420,805.13/894,169.13 = 894,169.13/x
  3. Step 3: Cross multiply
    420,805.13x = 894,169.13 × 894,169.13
  4. Step 4: Simplify right side
    420,805.13x = 799,538,424,103.27
  5. Step 5: Solve for x
    x = 799,538,424,103.27/420,805.13
  6. Step 6: Final answer
    x = 1,900,020.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.