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Finding the Third Proportional to 4,344.10 and 7,302.10

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Solution

The third proportional to 4,344.10 and 7,302.10 is: 12,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.10 : 7,302.10 = 7,302.10 : x
  2. Step 2: Convert to fraction form
    4,344.10/7,302.10 = 7,302.10/x
  3. Step 3: Cross multiply
    4,344.10x = 7,302.10 × 7,302.10
  4. Step 4: Simplify right side
    4,344.10x = 53,320,701.49
  5. Step 5: Solve for x
    x = 53,320,701.49/4,344.10
  6. Step 6: Final answer
    x = 12,274.28

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.