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Finding the Third Proportional to 317,404 and 661,112

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Solution

The third proportional to 317,404 and 661,112 is: 1,377,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,404 : 661,112 = 661,112 : x
  2. Step 2: Convert to fraction form
    317,404/661,112 = 661,112/x
  3. Step 3: Cross multiply
    317,404x = 661,112 × 661,112
  4. Step 4: Simplify right side
    317,404x = 437,069,076,544
  5. Step 5: Solve for x
    x = 437,069,076,544/317,404
  6. Step 6: Final answer
    x = 1,377,011.87

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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.