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Finding the Third Proportional to 491.34 and 1,058.34

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Solution

The third proportional to 491.34 and 1,058.34 is: 2,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.34 : 1,058.34 = 1,058.34 : x
  2. Step 2: Convert to fraction form
    491.34/1,058.34 = 1,058.34/x
  3. Step 3: Cross multiply
    491.34x = 1,058.34 × 1,058.34
  4. Step 4: Simplify right side
    491.34x = 1,120,091.49
  5. Step 5: Solve for x
    x = 1,120,091.49/491.34
  6. Step 6: Final answer
    x = 2,279.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.