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Finding the Third Proportional to 153,020 and 331,449

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Solution

The third proportional to 153,020 and 331,449 is: 717,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,020 : 331,449 = 331,449 : x
  2. Step 2: Convert to fraction form
    153,020/331,449 = 331,449/x
  3. Step 3: Cross multiply
    153,020x = 331,449 × 331,449
  4. Step 4: Simplify right side
    153,020x = 109,858,439,601
  5. Step 5: Solve for x
    x = 109,858,439,601/153,020
  6. Step 6: Final answer
    x = 717,935.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.