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Finding the Third Proportional to 2,639.13 and 4,178.63

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Solution

The third proportional to 2,639.13 and 4,178.63 is: 6,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.13 : 4,178.63 = 4,178.63 : x
  2. Step 2: Convert to fraction form
    2,639.13/4,178.63 = 4,178.63/x
  3. Step 3: Cross multiply
    2,639.13x = 4,178.63 × 4,178.63
  4. Step 4: Simplify right side
    2,639.13x = 17,460,906.89
  5. Step 5: Solve for x
    x = 17,460,906.89/2,639.13
  6. Step 6: Final answer
    x = 6,616.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.