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Finding the Third Proportional to 202.36 and 463.69

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Solution

The third proportional to 202.36 and 463.69 is: 1,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.36 : 463.69 = 463.69 : x
  2. Step 2: Convert to fraction form
    202.36/463.69 = 463.69/x
  3. Step 3: Cross multiply
    202.36x = 463.69 × 463.69
  4. Step 4: Simplify right side
    202.36x = 215,006.10
  5. Step 5: Solve for x
    x = 215,006.10/202.36
  6. Step 6: Final answer
    x = 1,062.50

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.