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Finding the Third Proportional to 307,168 and 661,747

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Solution

The third proportional to 307,168 and 661,747 is: 1,425,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,168 : 661,747 = 661,747 : x
  2. Step 2: Convert to fraction form
    307,168/661,747 = 661,747/x
  3. Step 3: Cross multiply
    307,168x = 661,747 × 661,747
  4. Step 4: Simplify right side
    307,168x = 437,909,092,009
  5. Step 5: Solve for x
    x = 437,909,092,009/307,168
  6. Step 6: Final answer
    x = 1,425,633.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.