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Finding the Third Proportional to 3,013.50 and 6,528.19

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Solution

The third proportional to 3,013.50 and 6,528.19 is: 14,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.50 : 6,528.19 = 6,528.19 : x
  2. Step 2: Convert to fraction form
    3,013.50/6,528.19 = 6,528.19/x
  3. Step 3: Cross multiply
    3,013.50x = 6,528.19 × 6,528.19
  4. Step 4: Simplify right side
    3,013.50x = 42,617,232.04
  5. Step 5: Solve for x
    x = 42,617,232.04/3,013.50
  6. Step 6: Final answer
    x = 14,142.10

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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.