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Finding the Third Proportional to 605,400 and 1,317,211

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Solution

The third proportional to 605,400 and 1,317,211 is: 2,865,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,400 : 1,317,211 = 1,317,211 : x
  2. Step 2: Convert to fraction form
    605,400/1,317,211 = 1,317,211/x
  3. Step 3: Cross multiply
    605,400x = 1,317,211 × 1,317,211
  4. Step 4: Simplify right side
    605,400x = 1,735,044,818,521
  5. Step 5: Solve for x
    x = 1,735,044,818,521/605,400
  6. Step 6: Final answer
    x = 2,865,947.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.