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Finding the Third Proportional to 153,392 and 331,456

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Solution

The third proportional to 153,392 and 331,456 is: 716,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,392 : 331,456 = 331,456 : x
  2. Step 2: Convert to fraction form
    153,392/331,456 = 331,456/x
  3. Step 3: Cross multiply
    153,392x = 331,456 × 331,456
  4. Step 4: Simplify right side
    153,392x = 109,863,079,936
  5. Step 5: Solve for x
    x = 109,863,079,936/153,392
  6. Step 6: Final answer
    x = 716,224.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.