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Finding the Third Proportional to 6,869.81 and 11,665.13

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Solution

The third proportional to 6,869.81 and 11,665.13 is: 19,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.81 : 11,665.13 = 11,665.13 : x
  2. Step 2: Convert to fraction form
    6,869.81/11,665.13 = 11,665.13/x
  3. Step 3: Cross multiply
    6,869.81x = 11,665.13 × 11,665.13
  4. Step 4: Simplify right side
    6,869.81x = 136,075,141.27
  5. Step 5: Solve for x
    x = 136,075,141.27/6,869.81
  6. Step 6: Final answer
    x = 19,807.69

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.