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Finding the Third Proportional to 450,458 and 979,322

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Solution

The third proportional to 450,458 and 979,322 is: 2,129,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,458 : 979,322 = 979,322 : x
  2. Step 2: Convert to fraction form
    450,458/979,322 = 979,322/x
  3. Step 3: Cross multiply
    450,458x = 979,322 × 979,322
  4. Step 4: Simplify right side
    450,458x = 959,071,579,684
  5. Step 5: Solve for x
    x = 959,071,579,684/450,458
  6. Step 6: Final answer
    x = 2,129,103.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.