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Finding the Third Proportional to 309,418 and 478,698

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Solution

The third proportional to 309,418 and 478,698 is: 740,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,418 : 478,698 = 478,698 : x
  2. Step 2: Convert to fraction form
    309,418/478,698 = 478,698/x
  3. Step 3: Cross multiply
    309,418x = 478,698 × 478,698
  4. Step 4: Simplify right side
    309,418x = 229,151,775,204
  5. Step 5: Solve for x
    x = 229,151,775,204/309,418
  6. Step 6: Final answer
    x = 740,589.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.