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Finding the Third Proportional to 20,785 and 39,657

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Solution

The third proportional to 20,785 and 39,657 is: 75,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785 : 39,657 = 39,657 : x
  2. Step 2: Convert to fraction form
    20,785/39,657 = 39,657/x
  3. Step 3: Cross multiply
    20,785x = 39,657 × 39,657
  4. Step 4: Simplify right side
    20,785x = 1,572,677,649
  5. Step 5: Solve for x
    x = 1,572,677,649/20,785
  6. Step 6: Final answer
    x = 75,664.07

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.