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Finding the Third Proportional to 317,844 and 661,824

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Solution

The third proportional to 317,844 and 661,824 is: 1,378,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,844 : 661,824 = 661,824 : x
  2. Step 2: Convert to fraction form
    317,844/661,824 = 661,824/x
  3. Step 3: Cross multiply
    317,844x = 661,824 × 661,824
  4. Step 4: Simplify right side
    317,844x = 438,011,006,976
  5. Step 5: Solve for x
    x = 438,011,006,976/317,844
  6. Step 6: Final answer
    x = 1,378,069.14

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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.