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Finding the Third Proportional to 611,713 and 1,317,170

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Solution

The third proportional to 611,713 and 1,317,170 is: 2,836,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,713 : 1,317,170 = 1,317,170 : x
  2. Step 2: Convert to fraction form
    611,713/1,317,170 = 1,317,170/x
  3. Step 3: Cross multiply
    611,713x = 1,317,170 × 1,317,170
  4. Step 4: Simplify right side
    611,713x = 1,734,936,808,900
  5. Step 5: Solve for x
    x = 1,734,936,808,900/611,713
  6. Step 6: Final answer
    x = 2,836,194.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.