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Finding the Third Proportional to 153,333 and 232,767

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Solution

The third proportional to 153,333 and 232,767 is: 353,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,333 : 232,767 = 232,767 : x
  2. Step 2: Convert to fraction form
    153,333/232,767 = 232,767/x
  3. Step 3: Cross multiply
    153,333x = 232,767 × 232,767
  4. Step 4: Simplify right side
    153,333x = 54,180,476,289
  5. Step 5: Solve for x
    x = 54,180,476,289/153,333
  6. Step 6: Final answer
    x = 353,351.70

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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.