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Finding the Third Proportional to 448,919 and 985,078

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Solution

The third proportional to 448,919 and 985,078 is: 2,161,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,919 : 985,078 = 985,078 : x
  2. Step 2: Convert to fraction form
    448,919/985,078 = 985,078/x
  3. Step 3: Cross multiply
    448,919x = 985,078 × 985,078
  4. Step 4: Simplify right side
    448,919x = 970,378,666,084
  5. Step 5: Solve for x
    x = 970,378,666,084/448,919
  6. Step 6: Final answer
    x = 2,161,589.65

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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.