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Finding the Third Proportional to 414,421.88 and 905,883.75

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Solution

The third proportional to 414,421.88 and 905,883.75 is: 1,980,169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,421.88 : 905,883.75 = 905,883.75 : x
  2. Step 2: Convert to fraction form
    414,421.88/905,883.75 = 905,883.75/x
  3. Step 3: Cross multiply
    414,421.88x = 905,883.75 × 905,883.75
  4. Step 4: Simplify right side
    414,421.88x = 820,625,368,514.06
  5. Step 5: Solve for x
    x = 820,625,368,514.06/414,421.88
  6. Step 6: Final answer
    x = 1,980,169.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.