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Finding the Third Proportional to 153,981 and 228,722

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Solution

The third proportional to 153,981 and 228,722 is: 339,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,981 : 228,722 = 228,722 : x
  2. Step 2: Convert to fraction form
    153,981/228,722 = 228,722/x
  3. Step 3: Cross multiply
    153,981x = 228,722 × 228,722
  4. Step 4: Simplify right side
    153,981x = 52,313,753,284
  5. Step 5: Solve for x
    x = 52,313,753,284/153,981
  6. Step 6: Final answer
    x = 339,741.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.