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Finding the Third Proportional to 581.91 and 902.11

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Solution

The third proportional to 581.91 and 902.11 is: 1,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.91 : 902.11 = 902.11 : x
  2. Step 2: Convert to fraction form
    581.91/902.11 = 902.11/x
  3. Step 3: Cross multiply
    581.91x = 902.11 × 902.11
  4. Step 4: Simplify right side
    581.91x = 813,801.32
  5. Step 5: Solve for x
    x = 813,801.32/581.91
  6. Step 6: Final answer
    x = 1,398.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.