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Finding the Third Proportional to 218,485 and 329,732

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Solution

The third proportional to 218,485 and 329,732 is: 497,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,485 : 329,732 = 329,732 : x
  2. Step 2: Convert to fraction form
    218,485/329,732 = 329,732/x
  3. Step 3: Cross multiply
    218,485x = 329,732 × 329,732
  4. Step 4: Simplify right side
    218,485x = 108,723,191,824
  5. Step 5: Solve for x
    x = 108,723,191,824/218,485
  6. Step 6: Final answer
    x = 497,623.14

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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.