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Finding the Third Proportional to 20,780 and 45,083

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Solution

The third proportional to 20,780 and 45,083 is: 97,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780 : 45,083 = 45,083 : x
  2. Step 2: Convert to fraction form
    20,780/45,083 = 45,083/x
  3. Step 3: Cross multiply
    20,780x = 45,083 × 45,083
  4. Step 4: Simplify right side
    20,780x = 2,032,476,889
  5. Step 5: Solve for x
    x = 2,032,476,889/20,780
  6. Step 6: Final answer
    x = 97,809.28

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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.