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Finding the Third Proportional to 353,138 and 537,867

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Solution

The third proportional to 353,138 and 537,867 is: 819,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,138 : 537,867 = 537,867 : x
  2. Step 2: Convert to fraction form
    353,138/537,867 = 537,867/x
  3. Step 3: Cross multiply
    353,138x = 537,867 × 537,867
  4. Step 4: Simplify right side
    353,138x = 289,300,909,689
  5. Step 5: Solve for x
    x = 289,300,909,689/353,138
  6. Step 6: Final answer
    x = 819,229.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.