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Finding the Third Proportional to 1,777.08 and 3,869.30

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Solution

The third proportional to 1,777.08 and 3,869.30 is: 8,424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.08 : 3,869.30 = 3,869.30 : x
  2. Step 2: Convert to fraction form
    1,777.08/3,869.30 = 3,869.30/x
  3. Step 3: Cross multiply
    1,777.08x = 3,869.30 × 3,869.30
  4. Step 4: Simplify right side
    1,777.08x = 14,971,458.31
  5. Step 5: Solve for x
    x = 14,971,458.31/1,777.08
  6. Step 6: Final answer
    x = 8,424.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.