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Finding the Third Proportional to 2,487.75 and 3,486.94

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Solution

The third proportional to 2,487.75 and 3,486.94 is: 4,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.75 : 3,486.94 = 3,486.94 : x
  2. Step 2: Convert to fraction form
    2,487.75/3,486.94 = 3,486.94/x
  3. Step 3: Cross multiply
    2,487.75x = 3,486.94 × 3,486.94
  4. Step 4: Simplify right side
    2,487.75x = 12,158,733.13
  5. Step 5: Solve for x
    x = 12,158,733.13/2,487.75
  6. Step 6: Final answer
    x = 4,887.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.