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Finding the Third Proportional to 309,252 and 477,846

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Solution

The third proportional to 309,252 and 477,846 is: 738,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,252 : 477,846 = 477,846 : x
  2. Step 2: Convert to fraction form
    309,252/477,846 = 477,846/x
  3. Step 3: Cross multiply
    309,252x = 477,846 × 477,846
  4. Step 4: Simplify right side
    309,252x = 228,336,799,716
  5. Step 5: Solve for x
    x = 228,336,799,716/309,252
  6. Step 6: Final answer
    x = 738,351.89

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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.