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Finding the Third Proportional to 653,876 and 1,378,742

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Solution

The third proportional to 653,876 and 1,378,742 is: 2,907,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,876 : 1,378,742 = 1,378,742 : x
  2. Step 2: Convert to fraction form
    653,876/1,378,742 = 1,378,742/x
  3. Step 3: Cross multiply
    653,876x = 1,378,742 × 1,378,742
  4. Step 4: Simplify right side
    653,876x = 1,900,929,502,564
  5. Step 5: Solve for x
    x = 1,900,929,502,564/653,876
  6. Step 6: Final answer
    x = 2,907,171.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.