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Finding the Third Proportional to 132,132 and 233,232

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Solution

The third proportional to 132,132 and 233,232 is: 411,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,132 : 233,232 = 233,232 : x
  2. Step 2: Convert to fraction form
    132,132/233,232 = 233,232/x
  3. Step 3: Cross multiply
    132,132x = 233,232 × 233,232
  4. Step 4: Simplify right side
    132,132x = 54,397,165,824
  5. Step 5: Solve for x
    x = 54,397,165,824/132,132
  6. Step 6: Final answer
    x = 411,688.05

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.