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Finding the Third Proportional to 118,500.50 and 253,609

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Solution

The third proportional to 118,500.50 and 253,609 is: 542,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,500.50 : 253,609 = 253,609 : x
  2. Step 2: Convert to fraction form
    118,500.50/253,609 = 253,609/x
  3. Step 3: Cross multiply
    118,500.50x = 253,609 × 253,609
  4. Step 4: Simplify right side
    118,500.50x = 64,317,524,881
  5. Step 5: Solve for x
    x = 64,317,524,881/118,500.50
  6. Step 6: Final answer
    x = 542,761.63

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