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Finding the Third Proportional to 122,333 and 172,272

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Solution

The third proportional to 122,333 and 172,272 is: 242,597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,333 : 172,272 = 172,272 : x
  2. Step 2: Convert to fraction form
    122,333/172,272 = 172,272/x
  3. Step 3: Cross multiply
    122,333x = 172,272 × 172,272
  4. Step 4: Simplify right side
    122,333x = 29,677,641,984
  5. Step 5: Solve for x
    x = 29,677,641,984/122,333
  6. Step 6: Final answer
    x = 242,597.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.