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Finding the Third Proportional to 329,138 and 498,324

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Solution

The third proportional to 329,138 and 498,324 is: 754,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,138 : 498,324 = 498,324 : x
  2. Step 2: Convert to fraction form
    329,138/498,324 = 498,324/x
  3. Step 3: Cross multiply
    329,138x = 498,324 × 498,324
  4. Step 4: Simplify right side
    329,138x = 248,326,808,976
  5. Step 5: Solve for x
    x = 248,326,808,976/329,138
  6. Step 6: Final answer
    x = 754,476.27

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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.