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Finding the Third Proportional to 3,159.84 and 6,876.98

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Solution

The third proportional to 3,159.84 and 6,876.98 is: 14,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.84 : 6,876.98 = 6,876.98 : x
  2. Step 2: Convert to fraction form
    3,159.84/6,876.98 = 6,876.98/x
  3. Step 3: Cross multiply
    3,159.84x = 6,876.98 × 6,876.98
  4. Step 4: Simplify right side
    3,159.84x = 47,292,914.09
  5. Step 5: Solve for x
    x = 47,292,914.09/3,159.84
  6. Step 6: Final answer
    x = 14,966.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.