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Finding the Third Proportional to 146,972 and 220,656

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Solution

The third proportional to 146,972 and 220,656 is: 331,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,972 : 220,656 = 220,656 : x
  2. Step 2: Convert to fraction form
    146,972/220,656 = 220,656/x
  3. Step 3: Cross multiply
    146,972x = 220,656 × 220,656
  4. Step 4: Simplify right side
    146,972x = 48,689,070,336
  5. Step 5: Solve for x
    x = 48,689,070,336/146,972
  6. Step 6: Final answer
    x = 331,281.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.