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Finding the Third Proportional to 1,187.51 and 1,827.95

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Solution

The third proportional to 1,187.51 and 1,827.95 is: 2,813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.51 : 1,827.95 = 1,827.95 : x
  2. Step 2: Convert to fraction form
    1,187.51/1,827.95 = 1,827.95/x
  3. Step 3: Cross multiply
    1,187.51x = 1,827.95 × 1,827.95
  4. Step 4: Simplify right side
    1,187.51x = 3,341,398.35
  5. Step 5: Solve for x
    x = 3,341,398.35/1,187.51
  6. Step 6: Final answer
    x = 2,813.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.