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Finding the Third Proportional to 309,262 and 477,861

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Solution

The third proportional to 309,262 and 477,861 is: 738,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,262 : 477,861 = 477,861 : x
  2. Step 2: Convert to fraction form
    309,262/477,861 = 477,861/x
  3. Step 3: Cross multiply
    309,262x = 477,861 × 477,861
  4. Step 4: Simplify right side
    309,262x = 228,351,135,321
  5. Step 5: Solve for x
    x = 228,351,135,321/309,262
  6. Step 6: Final answer
    x = 738,374.37

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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.