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Finding the Third Proportional to 317,886 and 661,632

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Solution

The third proportional to 317,886 and 661,632 is: 1,377,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,886 : 661,632 = 661,632 : x
  2. Step 2: Convert to fraction form
    317,886/661,632 = 661,632/x
  3. Step 3: Cross multiply
    317,886x = 661,632 × 661,632
  4. Step 4: Simplify right side
    317,886x = 437,756,903,424
  5. Step 5: Solve for x
    x = 437,756,903,424/317,886
  6. Step 6: Final answer
    x = 1,377,087.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.