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Finding the Third Proportional to 109,220 and 146,769

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Solution

The third proportional to 109,220 and 146,769 is: 197,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,220 : 146,769 = 146,769 : x
  2. Step 2: Convert to fraction form
    109,220/146,769 = 146,769/x
  3. Step 3: Cross multiply
    109,220x = 146,769 × 146,769
  4. Step 4: Simplify right side
    109,220x = 21,541,139,361
  5. Step 5: Solve for x
    x = 21,541,139,361/109,220
  6. Step 6: Final answer
    x = 197,227.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.