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Finding the Third Proportional to 20,172 and 43,746

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Solution

The third proportional to 20,172 and 43,746 is: 94,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172 : 43,746 = 43,746 : x
  2. Step 2: Convert to fraction form
    20,172/43,746 = 43,746/x
  3. Step 3: Cross multiply
    20,172x = 43,746 × 43,746
  4. Step 4: Simplify right side
    20,172x = 1,913,712,516
  5. Step 5: Solve for x
    x = 1,913,712,516/20,172
  6. Step 6: Final answer
    x = 94,869.75

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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.