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Finding the Third Proportional to 63,232 and 133,875

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Solution

The third proportional to 63,232 and 133,875 is: 283,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,232 : 133,875 = 133,875 : x
  2. Step 2: Convert to fraction form
    63,232/133,875 = 133,875/x
  3. Step 3: Cross multiply
    63,232x = 133,875 × 133,875
  4. Step 4: Simplify right side
    63,232x = 17,922,515,625
  5. Step 5: Solve for x
    x = 17,922,515,625/63,232
  6. Step 6: Final answer
    x = 283,440.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.