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Finding the Third Proportional to 6,865 and 14,139.88

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Solution

The third proportional to 6,865 and 14,139.88 is: 29,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865 : 14,139.88 = 14,139.88 : x
  2. Step 2: Convert to fraction form
    6,865/14,139.88 = 14,139.88/x
  3. Step 3: Cross multiply
    6,865x = 14,139.88 × 14,139.88
  4. Step 4: Simplify right side
    6,865x = 199,936,065.02
  5. Step 5: Solve for x
    x = 199,936,065.02/6,865
  6. Step 6: Final answer
    x = 29,123.97

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1.5x scale

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.