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Finding the Third Proportional to 317,186 and 665,510

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Solution

The third proportional to 317,186 and 665,510 is: 1,396,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,186 : 665,510 = 665,510 : x
  2. Step 2: Convert to fraction form
    317,186/665,510 = 665,510/x
  3. Step 3: Cross multiply
    317,186x = 665,510 × 665,510
  4. Step 4: Simplify right side
    317,186x = 442,903,560,100
  5. Step 5: Solve for x
    x = 442,903,560,100/317,186
  6. Step 6: Final answer
    x = 1,396,352.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.