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Finding the Third Proportional to 207.61 and 428.30

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Solution

The third proportional to 207.61 and 428.30 is: 883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.61 : 428.30 = 428.30 : x
  2. Step 2: Convert to fraction form
    207.61/428.30 = 428.30/x
  3. Step 3: Cross multiply
    207.61x = 428.30 × 428.30
  4. Step 4: Simplify right side
    207.61x = 183,438.21
  5. Step 5: Solve for x
    x = 183,438.21/207.61
  6. Step 6: Final answer
    x = 883.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.