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Finding the Third Proportional to 317,904 and 661,944

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Solution

The third proportional to 317,904 and 661,944 is: 1,378,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,904 : 661,944 = 661,944 : x
  2. Step 2: Convert to fraction form
    317,904/661,944 = 661,944/x
  3. Step 3: Cross multiply
    317,904x = 661,944 × 661,944
  4. Step 4: Simplify right side
    317,904x = 438,169,859,136
  5. Step 5: Solve for x
    x = 438,169,859,136/317,904
  6. Step 6: Final answer
    x = 1,378,308.73

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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.