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Finding the Third Proportional to 307,308 and 670,652

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Solution

The third proportional to 307,308 and 670,652 is: 1,463,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,308 : 670,652 = 670,652 : x
  2. Step 2: Convert to fraction form
    307,308/670,652 = 670,652/x
  3. Step 3: Cross multiply
    307,308x = 670,652 × 670,652
  4. Step 4: Simplify right side
    307,308x = 449,774,105,104
  5. Step 5: Solve for x
    x = 449,774,105,104/307,308
  6. Step 6: Final answer
    x = 1,463,593.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.