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Finding the Third Proportional to 306,769,260 and 431,491,446

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Solution

The third proportional to 306,769,260 and 431,491,446 is: 606,921,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,769,260 : 431,491,446 = 431,491,446 : x
  2. Step 2: Convert to fraction form
    306,769,260/431,491,446 = 431,491,446/x
  3. Step 3: Cross multiply
    306,769,260x = 431,491,446 × 431,491,446
  4. Step 4: Simplify right side
    306,769,260x = 186,184,867,971,170,912
  5. Step 5: Solve for x
    x = 186,184,867,971,170,912/306,769,260
  6. Step 6: Final answer
    x = 606,921,527.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.