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Finding the Third Proportional to 207.70 and 456.61

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Solution

The third proportional to 207.70 and 456.61 is: 1,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.70 : 456.61 = 456.61 : x
  2. Step 2: Convert to fraction form
    207.70/456.61 = 456.61/x
  3. Step 3: Cross multiply
    207.70x = 456.61 × 456.61
  4. Step 4: Simplify right side
    207.70x = 208,492.12
  5. Step 5: Solve for x
    x = 208,492.12/207.70
  6. Step 6: Final answer
    x = 1,003.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.