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Finding the Third Proportional to 2,861,430 and 4,297,680

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Solution

The third proportional to 2,861,430 and 4,297,680 is: 6,454,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861,430 : 4,297,680 = 4,297,680 : x
  2. Step 2: Convert to fraction form
    2,861,430/4,297,680 = 4,297,680/x
  3. Step 3: Cross multiply
    2,861,430x = 4,297,680 × 4,297,680
  4. Step 4: Simplify right side
    2,861,430x = 18,470,053,382,400
  5. Step 5: Solve for x
    x = 18,470,053,382,400/2,861,430
  6. Step 6: Final answer
    x = 6,454,833.21

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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.