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Finding the Third Proportional to 2,929.29 and 6,445.20

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Solution

The third proportional to 2,929.29 and 6,445.20 is: 14,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.29 : 6,445.20 = 6,445.20 : x
  2. Step 2: Convert to fraction form
    2,929.29/6,445.20 = 6,445.20/x
  3. Step 3: Cross multiply
    2,929.29x = 6,445.20 × 6,445.20
  4. Step 4: Simplify right side
    2,929.29x = 41,540,542.62
  5. Step 5: Solve for x
    x = 41,540,542.62/2,929.29
  6. Step 6: Final answer
    x = 14,181.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.