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Finding the Third Proportional to 218,516 and 329,772

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Solution

The third proportional to 218,516 and 329,772 is: 497,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,516 : 329,772 = 329,772 : x
  2. Step 2: Convert to fraction form
    218,516/329,772 = 329,772/x
  3. Step 3: Cross multiply
    218,516x = 329,772 × 329,772
  4. Step 4: Simplify right side
    218,516x = 108,749,571,984
  5. Step 5: Solve for x
    x = 108,749,571,984/218,516
  6. Step 6: Final answer
    x = 497,673.27

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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.