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Finding the Third Proportional to 20,782 and 45,088

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Solution

The third proportional to 20,782 and 45,088 is: 97,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782 : 45,088 = 45,088 : x
  2. Step 2: Convert to fraction form
    20,782/45,088 = 45,088/x
  3. Step 3: Cross multiply
    20,782x = 45,088 × 45,088
  4. Step 4: Simplify right side
    20,782x = 2,032,927,744
  5. Step 5: Solve for x
    x = 2,032,927,744/20,782
  6. Step 6: Final answer
    x = 97,821.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.