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Finding the Third Proportional to 3,880,651.78 and 8,163,478.69

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Solution

The third proportional to 3,880,651.78 and 8,163,478.69 is: 17,172,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880,651.78 : 8,163,478.69 = 8,163,478.69 : x
  2. Step 2: Convert to fraction form
    3,880,651.78/8,163,478.69 = 8,163,478.69/x
  3. Step 3: Cross multiply
    3,880,651.78x = 8,163,478.69 × 8,163,478.69
  4. Step 4: Simplify right side
    3,880,651.78x = 66,642,384,281,266.72
  5. Step 5: Solve for x
    x = 66,642,384,281,266.72/3,880,651.78
  6. Step 6: Final answer
    x = 17,172,987.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.