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Finding the Third Proportional to 218,444 and 329,674

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Solution

The third proportional to 218,444 and 329,674 is: 497,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,444 : 329,674 = 329,674 : x
  2. Step 2: Convert to fraction form
    218,444/329,674 = 329,674/x
  3. Step 3: Cross multiply
    218,444x = 329,674 × 329,674
  4. Step 4: Simplify right side
    218,444x = 108,684,946,276
  5. Step 5: Solve for x
    x = 108,684,946,276/218,444
  6. Step 6: Final answer
    x = 497,541.46

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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.