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Finding the Third Proportional to 1,869.75 and 3,180.94

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Solution

The third proportional to 1,869.75 and 3,180.94 is: 5,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.75 : 3,180.94 = 3,180.94 : x
  2. Step 2: Convert to fraction form
    1,869.75/3,180.94 = 3,180.94/x
  3. Step 3: Cross multiply
    1,869.75x = 3,180.94 × 3,180.94
  4. Step 4: Simplify right side
    1,869.75x = 10,118,363.38
  5. Step 5: Solve for x
    x = 10,118,363.38/1,869.75
  6. Step 6: Final answer
    x = 5,411.61

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.