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Finding the Third Proportional to 3,354.19 and 7,285.50

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Solution

The third proportional to 3,354.19 and 7,285.50 is: 15,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.19 : 7,285.50 = 7,285.50 : x
  2. Step 2: Convert to fraction form
    3,354.19/7,285.50 = 7,285.50/x
  3. Step 3: Cross multiply
    3,354.19x = 7,285.50 × 7,285.50
  4. Step 4: Simplify right side
    3,354.19x = 53,078,510.25
  5. Step 5: Solve for x
    x = 53,078,510.25/3,354.19
  6. Step 6: Final answer
    x = 15,824.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.