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Finding the Third Proportional to 653,868 and 1,378,728

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Solution

The third proportional to 653,868 and 1,378,728 is: 2,907,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,868 : 1,378,728 = 1,378,728 : x
  2. Step 2: Convert to fraction form
    653,868/1,378,728 = 1,378,728/x
  3. Step 3: Cross multiply
    653,868x = 1,378,728 × 1,378,728
  4. Step 4: Simplify right side
    653,868x = 1,900,890,897,984
  5. Step 5: Solve for x
    x = 1,900,890,897,984/653,868
  6. Step 6: Final answer
    x = 2,907,147.77

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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.