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Finding the Third Proportional to 393,847.95 and 802,142.05

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Solution

The third proportional to 393,847.95 and 802,142.05 is: 1,633,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,847.95 : 802,142.05 = 802,142.05 : x
  2. Step 2: Convert to fraction form
    393,847.95/802,142.05 = 802,142.05/x
  3. Step 3: Cross multiply
    393,847.95x = 802,142.05 × 802,142.05
  4. Step 4: Simplify right side
    393,847.95x = 643,431,869,631.55
  5. Step 5: Solve for x
    x = 643,431,869,631.55/393,847.95
  6. Step 6: Final answer
    x = 1,633,706.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.