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Finding the Third Proportional to 218,510 and 329,763

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Solution

The third proportional to 218,510 and 329,763 is: 497,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,510 : 329,763 = 329,763 : x
  2. Step 2: Convert to fraction form
    218,510/329,763 = 329,763/x
  3. Step 3: Cross multiply
    218,510x = 329,763 × 329,763
  4. Step 4: Simplify right side
    218,510x = 108,743,636,169
  5. Step 5: Solve for x
    x = 108,743,636,169/218,510
  6. Step 6: Final answer
    x = 497,659.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.