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Finding the Third Proportional to 3,220.70 and 7,417.43

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Solution

The third proportional to 3,220.70 and 7,417.43 is: 17,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.70 : 7,417.43 = 7,417.43 : x
  2. Step 2: Convert to fraction form
    3,220.70/7,417.43 = 7,417.43/x
  3. Step 3: Cross multiply
    3,220.70x = 7,417.43 × 7,417.43
  4. Step 4: Simplify right side
    3,220.70x = 55,018,306.63
  5. Step 5: Solve for x
    x = 55,018,306.63/3,220.70
  6. Step 6: Final answer
    x = 17,082.72

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.