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Finding the Third Proportional to 438.54 and 1,025.16

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Solution

The third proportional to 438.54 and 1,025.16 is: 2,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.54 : 1,025.16 = 1,025.16 : x
  2. Step 2: Convert to fraction form
    438.54/1,025.16 = 1,025.16/x
  3. Step 3: Cross multiply
    438.54x = 1,025.16 × 1,025.16
  4. Step 4: Simplify right side
    438.54x = 1,050,945.34
  5. Step 5: Solve for x
    x = 1,050,945.34/438.54
  6. Step 6: Final answer
    x = 2,396.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.