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Finding the Third Proportional to 109,217 and 166,746

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Solution

The third proportional to 109,217 and 166,746 is: 254,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,217 : 166,746 = 166,746 : x
  2. Step 2: Convert to fraction form
    109,217/166,746 = 166,746/x
  3. Step 3: Cross multiply
    109,217x = 166,746 × 166,746
  4. Step 4: Simplify right side
    109,217x = 27,804,228,516
  5. Step 5: Solve for x
    x = 27,804,228,516/109,217
  6. Step 6: Final answer
    x = 254,577.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.