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Finding the Third Proportional to 129,718.50 and 274,272

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Solution

The third proportional to 129,718.50 and 274,272 is: 579,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,718.50 : 274,272 = 274,272 : x
  2. Step 2: Convert to fraction form
    129,718.50/274,272 = 274,272/x
  3. Step 3: Cross multiply
    129,718.50x = 274,272 × 274,272
  4. Step 4: Simplify right side
    129,718.50x = 75,225,129,984
  5. Step 5: Solve for x
    x = 75,225,129,984/129,718.50
  6. Step 6: Final answer
    x = 579,910.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.