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Finding the Third Proportional to 69,909 and 152,232

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Solution

The third proportional to 69,909 and 152,232 is: 331,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,909 : 152,232 = 152,232 : x
  2. Step 2: Convert to fraction form
    69,909/152,232 = 152,232/x
  3. Step 3: Cross multiply
    69,909x = 152,232 × 152,232
  4. Step 4: Simplify right side
    69,909x = 23,174,581,824
  5. Step 5: Solve for x
    x = 23,174,581,824/69,909
  6. Step 6: Final answer
    x = 331,496.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.