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Finding the Third Proportional to 133,553 and 310,554

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Solution

The third proportional to 133,553 and 310,554 is: 722,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,553 : 310,554 = 310,554 : x
  2. Step 2: Convert to fraction form
    133,553/310,554 = 310,554/x
  3. Step 3: Cross multiply
    133,553x = 310,554 × 310,554
  4. Step 4: Simplify right side
    133,553x = 96,443,786,916
  5. Step 5: Solve for x
    x = 96,443,786,916/133,553
  6. Step 6: Final answer
    x = 722,138.68

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.