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Finding the Third Proportional to 360,990 and 554,917.50

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Solution

The third proportional to 360,990 and 554,917.50 is: 853,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,990 : 554,917.50 = 554,917.50 : x
  2. Step 2: Convert to fraction form
    360,990/554,917.50 = 554,917.50/x
  3. Step 3: Cross multiply
    360,990x = 554,917.50 × 554,917.50
  4. Step 4: Simplify right side
    360,990x = 307,933,431,806.25
  5. Step 5: Solve for x
    x = 307,933,431,806.25/360,990
  6. Step 6: Final answer
    x = 853,024.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.