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Finding the Third Proportional to 129,155.50 and 283,232

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Solution

The third proportional to 129,155.50 and 283,232 is: 621,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,155.50 : 283,232 = 283,232 : x
  2. Step 2: Convert to fraction form
    129,155.50/283,232 = 283,232/x
  3. Step 3: Cross multiply
    129,155.50x = 283,232 × 283,232
  4. Step 4: Simplify right side
    129,155.50x = 80,220,365,824
  5. Step 5: Solve for x
    x = 80,220,365,824/129,155.50
  6. Step 6: Final answer
    x = 621,114.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.