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Finding the Third Proportional to 307,037 and 664,010

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Solution

The third proportional to 307,037 and 664,010 is: 1,436,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,037 : 664,010 = 664,010 : x
  2. Step 2: Convert to fraction form
    307,037/664,010 = 664,010/x
  3. Step 3: Cross multiply
    307,037x = 664,010 × 664,010
  4. Step 4: Simplify right side
    307,037x = 440,909,280,100
  5. Step 5: Solve for x
    x = 440,909,280,100/307,037
  6. Step 6: Final answer
    x = 1,436,013.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.