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Finding the Third Proportional to 488.85 and 1,028.95

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Solution

The third proportional to 488.85 and 1,028.95 is: 2,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.85 : 1,028.95 = 1,028.95 : x
  2. Step 2: Convert to fraction form
    488.85/1,028.95 = 1,028.95/x
  3. Step 3: Cross multiply
    488.85x = 1,028.95 × 1,028.95
  4. Step 4: Simplify right side
    488.85x = 1,058,744.53
  5. Step 5: Solve for x
    x = 1,058,744.53/488.85
  6. Step 6: Final answer
    x = 2,165.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.