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Finding the Third Proportional to 20,780 and 45,023

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Solution

The third proportional to 20,780 and 45,023 is: 97,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780 : 45,023 = 45,023 : x
  2. Step 2: Convert to fraction form
    20,780/45,023 = 45,023/x
  3. Step 3: Cross multiply
    20,780x = 45,023 × 45,023
  4. Step 4: Simplify right side
    20,780x = 2,027,070,529
  5. Step 5: Solve for x
    x = 2,027,070,529/20,780
  6. Step 6: Final answer
    x = 97,549.11

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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.