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Finding the Third Proportional to 133,232 and 172,855

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Solution

The third proportional to 133,232 and 172,855 is: 224,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,232 : 172,855 = 172,855 : x
  2. Step 2: Convert to fraction form
    133,232/172,855 = 172,855/x
  3. Step 3: Cross multiply
    133,232x = 172,855 × 172,855
  4. Step 4: Simplify right side
    133,232x = 29,878,851,025
  5. Step 5: Solve for x
    x = 29,878,851,025/133,232
  6. Step 6: Final answer
    x = 224,261.82

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.