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Finding the Third Proportional to 438.54 and 954.68

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Solution

The third proportional to 438.54 and 954.68 is: 2,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.54 : 954.68 = 954.68 : x
  2. Step 2: Convert to fraction form
    438.54/954.68 = 954.68/x
  3. Step 3: Cross multiply
    438.54x = 954.68 × 954.68
  4. Step 4: Simplify right side
    438.54x = 911,407.71
  5. Step 5: Solve for x
    x = 911,407.71/438.54
  6. Step 6: Final answer
    x = 2,078.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.