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Finding the Third Proportional to 317,138 and 665,415

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Solution

The third proportional to 317,138 and 665,415 is: 1,396,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,138 : 665,415 = 665,415 : x
  2. Step 2: Convert to fraction form
    317,138/665,415 = 665,415/x
  3. Step 3: Cross multiply
    317,138x = 665,415 × 665,415
  4. Step 4: Simplify right side
    317,138x = 442,777,122,225
  5. Step 5: Solve for x
    x = 442,777,122,225/317,138
  6. Step 6: Final answer
    x = 1,396,165.46

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