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Finding the Third Proportional to 307,693 and 664,593.50

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Solution

The third proportional to 307,693 and 664,593.50 is: 1,435,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,693 : 664,593.50 = 664,593.50 : x
  2. Step 2: Convert to fraction form
    307,693/664,593.50 = 664,593.50/x
  3. Step 3: Cross multiply
    307,693x = 664,593.50 × 664,593.50
  4. Step 4: Simplify right side
    307,693x = 441,684,520,242.25
  5. Step 5: Solve for x
    x = 441,684,520,242.25/307,693
  6. Step 6: Final answer
    x = 1,435,471.46

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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.