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Finding the Third Proportional to 787,782 and 1,222,140

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Solution

The third proportional to 787,782 and 1,222,140 is: 1,895,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,782 : 1,222,140 = 1,222,140 : x
  2. Step 2: Convert to fraction form
    787,782/1,222,140 = 1,222,140/x
  3. Step 3: Cross multiply
    787,782x = 1,222,140 × 1,222,140
  4. Step 4: Simplify right side
    787,782x = 1,493,626,179,600
  5. Step 5: Solve for x
    x = 1,493,626,179,600/787,782
  6. Step 6: Final answer
    x = 1,895,989.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.