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Finding the Third Proportional to 208.50 and 460.13

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Solution

The third proportional to 208.50 and 460.13 is: 1,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.50 : 460.13 = 460.13 : x
  2. Step 2: Convert to fraction form
    208.50/460.13 = 460.13/x
  3. Step 3: Cross multiply
    208.50x = 460.13 × 460.13
  4. Step 4: Simplify right side
    208.50x = 211,715.02
  5. Step 5: Solve for x
    x = 211,715.02/208.50
  6. Step 6: Final answer
    x = 1,015.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.