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Finding the Third Proportional to 1,115.06 and 1,985.16

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Solution

The third proportional to 1,115.06 and 1,985.16 is: 3,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.06 : 1,985.16 = 1,985.16 : x
  2. Step 2: Convert to fraction form
    1,115.06/1,985.16 = 1,985.16/x
  3. Step 3: Cross multiply
    1,115.06x = 1,985.16 × 1,985.16
  4. Step 4: Simplify right side
    1,115.06x = 3,940,845.34
  5. Step 5: Solve for x
    x = 3,940,845.34/1,115.06
  6. Step 6: Final answer
    x = 3,534.19

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.