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Finding the Third Proportional to 1,856.63 and 3,866.34

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Solution

The third proportional to 1,856.63 and 3,866.34 is: 8,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.63 : 3,866.34 = 3,866.34 : x
  2. Step 2: Convert to fraction form
    1,856.63/3,866.34 = 3,866.34/x
  3. Step 3: Cross multiply
    1,856.63x = 3,866.34 × 3,866.34
  4. Step 4: Simplify right side
    1,856.63x = 14,948,613.99
  5. Step 5: Solve for x
    x = 14,948,613.99/1,856.63
  6. Step 6: Final answer
    x = 8,051.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.