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Finding the Third Proportional to 153,982 and 329,245

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Solution

The third proportional to 153,982 and 329,245 is: 703,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,982 : 329,245 = 329,245 : x
  2. Step 2: Convert to fraction form
    153,982/329,245 = 329,245/x
  3. Step 3: Cross multiply
    153,982x = 329,245 × 329,245
  4. Step 4: Simplify right side
    153,982x = 108,402,270,025
  5. Step 5: Solve for x
    x = 108,402,270,025/153,982
  6. Step 6: Final answer
    x = 703,993.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.