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Finding the Third Proportional to 3,460.50 and 6,003.84

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Solution

The third proportional to 3,460.50 and 6,003.84 is: 10,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.50 : 6,003.84 = 6,003.84 : x
  2. Step 2: Convert to fraction form
    3,460.50/6,003.84 = 6,003.84/x
  3. Step 3: Cross multiply
    3,460.50x = 6,003.84 × 6,003.84
  4. Step 4: Simplify right side
    3,460.50x = 36,046,139.77
  5. Step 5: Solve for x
    x = 36,046,139.77/3,460.50
  6. Step 6: Final answer
    x = 10,416.45

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.