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Finding the Third Proportional to 218,487 and 329,736

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Solution

The third proportional to 218,487 and 329,736 is: 497,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,487 : 329,736 = 329,736 : x
  2. Step 2: Convert to fraction form
    218,487/329,736 = 329,736/x
  3. Step 3: Cross multiply
    218,487x = 329,736 × 329,736
  4. Step 4: Simplify right side
    218,487x = 108,725,829,696
  5. Step 5: Solve for x
    x = 108,725,829,696/218,487
  6. Step 6: Final answer
    x = 497,630.66

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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.