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Finding the Third Proportional to 202.08 and 288.77

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Solution

The third proportional to 202.08 and 288.77 is: 412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 288.77 = 288.77 : x
  2. Step 2: Convert to fraction form
    202.08/288.77 = 288.77/x
  3. Step 3: Cross multiply
    202.08x = 288.77 × 288.77
  4. Step 4: Simplify right side
    202.08x = 83,390.10
  5. Step 5: Solve for x
    x = 83,390.10/202.08
  6. Step 6: Final answer
    x = 412.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.