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Finding the Third Proportional to 152,936 and 232,644

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Solution

The third proportional to 152,936 and 232,644 is: 353,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,936 : 232,644 = 232,644 : x
  2. Step 2: Convert to fraction form
    152,936/232,644 = 232,644/x
  3. Step 3: Cross multiply
    152,936x = 232,644 × 232,644
  4. Step 4: Simplify right side
    152,936x = 54,123,230,736
  5. Step 5: Solve for x
    x = 54,123,230,736/152,936
  6. Step 6: Final answer
    x = 353,894.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.