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Finding the Third Proportional to 10,665 and 19,785

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Solution

The third proportional to 10,665 and 19,785 is: 36,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665 : 19,785 = 19,785 : x
  2. Step 2: Convert to fraction form
    10,665/19,785 = 19,785/x
  3. Step 3: Cross multiply
    10,665x = 19,785 × 19,785
  4. Step 4: Simplify right side
    10,665x = 391,446,225
  5. Step 5: Solve for x
    x = 391,446,225/10,665
  6. Step 6: Final answer
    x = 36,703.82

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.