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Finding the Third Proportional to 3,880,056.94 and 8,420,291.72

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Solution

The third proportional to 3,880,056.94 and 8,420,291.72 is: 18,273,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880,056.94 : 8,420,291.72 = 8,420,291.72 : x
  2. Step 2: Convert to fraction form
    3,880,056.94/8,420,291.72 = 8,420,291.72/x
  3. Step 3: Cross multiply
    3,880,056.94x = 8,420,291.72 × 8,420,291.72
  4. Step 4: Simplify right side
    3,880,056.94x = 70,901,312,628,849.83
  5. Step 5: Solve for x
    x = 70,901,312,628,849.83/3,880,056.94
  6. Step 6: Final answer
    x = 18,273,266.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.