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Finding the Third Proportional to 406,434 and 548,259

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Solution

The third proportional to 406,434 and 548,259 is: 739,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,434 : 548,259 = 548,259 : x
  2. Step 2: Convert to fraction form
    406,434/548,259 = 548,259/x
  3. Step 3: Cross multiply
    406,434x = 548,259 × 548,259
  4. Step 4: Simplify right side
    406,434x = 300,587,931,081
  5. Step 5: Solve for x
    x = 300,587,931,081/406,434
  6. Step 6: Final answer
    x = 739,573.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.