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Finding the Third Proportional to 207.28 and 435.84

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Solution

The third proportional to 207.28 and 435.84 is: 916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.28 : 435.84 = 435.84 : x
  2. Step 2: Convert to fraction form
    207.28/435.84 = 435.84/x
  3. Step 3: Cross multiply
    207.28x = 435.84 × 435.84
  4. Step 4: Simplify right side
    207.28x = 189,959.77
  5. Step 5: Solve for x
    x = 189,959.77/207.28
  6. Step 6: Final answer
    x = 916.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.