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Finding the Third Proportional to 1,652.91 and 3,446.30

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Solution

The third proportional to 1,652.91 and 3,446.30 is: 7,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.91 : 3,446.30 = 3,446.30 : x
  2. Step 2: Convert to fraction form
    1,652.91/3,446.30 = 3,446.30/x
  3. Step 3: Cross multiply
    1,652.91x = 3,446.30 × 3,446.30
  4. Step 4: Simplify right side
    1,652.91x = 11,876,962.15
  5. Step 5: Solve for x
    x = 11,876,962.15/1,652.91
  6. Step 6: Final answer
    x = 7,185.50

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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.