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Finding the Third Proportional to 261,520 and 558,741

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Solution

The third proportional to 261,520 and 558,741 is: 1,193,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,520 : 558,741 = 558,741 : x
  2. Step 2: Convert to fraction form
    261,520/558,741 = 558,741/x
  3. Step 3: Cross multiply
    261,520x = 558,741 × 558,741
  4. Step 4: Simplify right side
    261,520x = 312,191,505,081
  5. Step 5: Solve for x
    x = 312,191,505,081/261,520
  6. Step 6: Final answer
    x = 1,193,757.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.