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Finding the Third Proportional to 3,156.47 and 6,517.97

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Solution

The third proportional to 3,156.47 and 6,517.97 is: 13,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.47 : 6,517.97 = 6,517.97 : x
  2. Step 2: Convert to fraction form
    3,156.47/6,517.97 = 6,517.97/x
  3. Step 3: Cross multiply
    3,156.47x = 6,517.97 × 6,517.97
  4. Step 4: Simplify right side
    3,156.47x = 42,483,916.63
  5. Step 5: Solve for x
    x = 42,483,916.63/3,156.47
  6. Step 6: Final answer
    x = 13,459.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.