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Finding the Third Proportional to 447,931 and 979,947

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Solution

The third proportional to 447,931 and 979,947 is: 2,143,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,931 : 979,947 = 979,947 : x
  2. Step 2: Convert to fraction form
    447,931/979,947 = 979,947/x
  3. Step 3: Cross multiply
    447,931x = 979,947 × 979,947
  4. Step 4: Simplify right side
    447,931x = 960,296,122,809
  5. Step 5: Solve for x
    x = 960,296,122,809/447,931
  6. Step 6: Final answer
    x = 2,143,848.32

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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.