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Finding the Third Proportional to 410,631 and 549,279

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Solution

The third proportional to 410,631 and 549,279 is: 734,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,631 : 549,279 = 549,279 : x
  2. Step 2: Convert to fraction form
    410,631/549,279 = 549,279/x
  3. Step 3: Cross multiply
    410,631x = 549,279 × 549,279
  4. Step 4: Simplify right side
    410,631x = 301,707,419,841
  5. Step 5: Solve for x
    x = 301,707,419,841/410,631
  6. Step 6: Final answer
    x = 734,740.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.