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Finding the Third Proportional to 3,025.05 and 6,417.35

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Solution

The third proportional to 3,025.05 and 6,417.35 is: 13,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.05 : 6,417.35 = 6,417.35 : x
  2. Step 2: Convert to fraction form
    3,025.05/6,417.35 = 6,417.35/x
  3. Step 3: Cross multiply
    3,025.05x = 6,417.35 × 6,417.35
  4. Step 4: Simplify right side
    3,025.05x = 41,182,401.08
  5. Step 5: Solve for x
    x = 41,182,401.08/3,025.05
  6. Step 6: Final answer
    x = 13,613.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.