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Finding the Third Proportional to 490.99 and 1,058.87

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Solution

The third proportional to 490.99 and 1,058.87 is: 2,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.99 : 1,058.87 = 1,058.87 : x
  2. Step 2: Convert to fraction form
    490.99/1,058.87 = 1,058.87/x
  3. Step 3: Cross multiply
    490.99x = 1,058.87 × 1,058.87
  4. Step 4: Simplify right side
    490.99x = 1,121,207.99
  5. Step 5: Solve for x
    x = 1,121,207.99/490.99
  6. Step 6: Final answer
    x = 2,283.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.