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Finding the Third Proportional to 3,160.90 and 6,988.15

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Solution

The third proportional to 3,160.90 and 6,988.15 is: 15,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.90 : 6,988.15 = 6,988.15 : x
  2. Step 2: Convert to fraction form
    3,160.90/6,988.15 = 6,988.15/x
  3. Step 3: Cross multiply
    3,160.90x = 6,988.15 × 6,988.15
  4. Step 4: Simplify right side
    3,160.90x = 48,834,218.58
  5. Step 5: Solve for x
    x = 48,834,218.58/3,160.90
  6. Step 6: Final answer
    x = 15,449.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.