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Finding the Third Proportional to 3,639.30 and 7,967.74

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Solution

The third proportional to 3,639.30 and 7,967.74 is: 17,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.30 : 7,967.74 = 7,967.74 : x
  2. Step 2: Convert to fraction form
    3,639.30/7,967.74 = 7,967.74/x
  3. Step 3: Cross multiply
    3,639.30x = 7,967.74 × 7,967.74
  4. Step 4: Simplify right side
    3,639.30x = 63,484,915.57
  5. Step 5: Solve for x
    x = 63,484,915.57/3,639.30
  6. Step 6: Final answer
    x = 17,444.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.