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Finding the Third Proportional to 3,528.78 and 7,639.02

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Solution

The third proportional to 3,528.78 and 7,639.02 is: 16,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.78 : 7,639.02 = 7,639.02 : x
  2. Step 2: Convert to fraction form
    3,528.78/7,639.02 = 7,639.02/x
  3. Step 3: Cross multiply
    3,528.78x = 7,639.02 × 7,639.02
  4. Step 4: Simplify right side
    3,528.78x = 58,354,563.45
  5. Step 5: Solve for x
    x = 58,354,563.45/3,528.78
  6. Step 6: Final answer
    x = 16,536.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.