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Finding the Third Proportional to 2,120.08 and 3,116.76

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Solution

The third proportional to 2,120.08 and 3,116.76 is: 4,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.08 : 3,116.76 = 3,116.76 : x
  2. Step 2: Convert to fraction form
    2,120.08/3,116.76 = 3,116.76/x
  3. Step 3: Cross multiply
    2,120.08x = 3,116.76 × 3,116.76
  4. Step 4: Simplify right side
    2,120.08x = 9,714,191.44
  5. Step 5: Solve for x
    x = 9,714,191.44/2,120.08
  6. Step 6: Final answer
    x = 4,581.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.