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Finding the Third Proportional to 1,648.13 and 2,930.91

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Solution

The third proportional to 1,648.13 and 2,930.91 is: 5,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.13 : 2,930.91 = 2,930.91 : x
  2. Step 2: Convert to fraction form
    1,648.13/2,930.91 = 2,930.91/x
  3. Step 3: Cross multiply
    1,648.13x = 2,930.91 × 2,930.91
  4. Step 4: Simplify right side
    1,648.13x = 8,590,211.45
  5. Step 5: Solve for x
    x = 8,590,211.45/1,648.13
  6. Step 6: Final answer
    x = 5,212.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.