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Finding the Third Proportional to 20,646 and 45,155

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Solution

The third proportional to 20,646 and 45,155 is: 98,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646 : 45,155 = 45,155 : x
  2. Step 2: Convert to fraction form
    20,646/45,155 = 45,155/x
  3. Step 3: Cross multiply
    20,646x = 45,155 × 45,155
  4. Step 4: Simplify right side
    20,646x = 2,038,974,025
  5. Step 5: Solve for x
    x = 2,038,974,025/20,646
  6. Step 6: Final answer
    x = 98,758.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.