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Finding the Third Proportional to 902.81 and 1,663.88

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Solution

The third proportional to 902.81 and 1,663.88 is: 3,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.81 : 1,663.88 = 1,663.88 : x
  2. Step 2: Convert to fraction form
    902.81/1,663.88 = 1,663.88/x
  3. Step 3: Cross multiply
    902.81x = 1,663.88 × 1,663.88
  4. Step 4: Simplify right side
    902.81x = 2,768,480.02
  5. Step 5: Solve for x
    x = 2,768,480.02/902.81
  6. Step 6: Final answer
    x = 3,066.51

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.