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Finding the Third Proportional to 3,460.85 and 7,374.80

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Solution

The third proportional to 3,460.85 and 7,374.80 is: 15,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.85 : 7,374.80 = 7,374.80 : x
  2. Step 2: Convert to fraction form
    3,460.85/7,374.80 = 7,374.80/x
  3. Step 3: Cross multiply
    3,460.85x = 7,374.80 × 7,374.80
  4. Step 4: Simplify right side
    3,460.85x = 54,387,628.95
  5. Step 5: Solve for x
    x = 54,387,628.95/3,460.85
  6. Step 6: Final answer
    x = 15,715.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.