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Finding the Third Proportional to 3,181,125.66 and 6,866,559.84

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Solution

The third proportional to 3,181,125.66 and 6,866,559.84 is: 14,821,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181,125.66 : 6,866,559.84 = 6,866,559.84 : x
  2. Step 2: Convert to fraction form
    3,181,125.66/6,866,559.84 = 6,866,559.84/x
  3. Step 3: Cross multiply
    3,181,125.66x = 6,866,559.84 × 6,866,559.84
  4. Step 4: Simplify right side
    3,181,125.66x = 47,149,644,087,800.02
  5. Step 5: Solve for x
    x = 47,149,644,087,800.02/3,181,125.66
  6. Step 6: Final answer
    x = 14,821,685.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.