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Finding the Third Proportional to 1,661,500 and 2,489,480

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Solution

The third proportional to 1,661,500 and 2,489,480 is: 3,730,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,500 : 2,489,480 = 2,489,480 : x
  2. Step 2: Convert to fraction form
    1,661,500/2,489,480 = 2,489,480/x
  3. Step 3: Cross multiply
    1,661,500x = 2,489,480 × 2,489,480
  4. Step 4: Simplify right side
    1,661,500x = 6,197,510,670,400
  5. Step 5: Solve for x
    x = 6,197,510,670,400/1,661,500
  6. Step 6: Final answer
    x = 3,730,069.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.