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Finding the Third Proportional to 1,865.91 and 2,912.34

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Solution

The third proportional to 1,865.91 and 2,912.34 is: 4,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.91 : 2,912.34 = 2,912.34 : x
  2. Step 2: Convert to fraction form
    1,865.91/2,912.34 = 2,912.34/x
  3. Step 3: Cross multiply
    1,865.91x = 2,912.34 × 2,912.34
  4. Step 4: Simplify right side
    1,865.91x = 8,481,746.12
  5. Step 5: Solve for x
    x = 8,481,746.12/1,865.91
  6. Step 6: Final answer
    x = 4,545.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.