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Finding the Third Proportional to 317,637 and 661,410

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Solution

The third proportional to 317,637 and 661,410 is: 1,377,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,637 : 661,410 = 661,410 : x
  2. Step 2: Convert to fraction form
    317,637/661,410 = 661,410/x
  3. Step 3: Cross multiply
    317,637x = 661,410 × 661,410
  4. Step 4: Simplify right side
    317,637x = 437,463,188,100
  5. Step 5: Solve for x
    x = 437,463,188,100/317,637
  6. Step 6: Final answer
    x = 1,377,242.54

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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.