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Finding the Third Proportional to 191,886 and 306,549

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Solution

The third proportional to 191,886 and 306,549 is: 489,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,886 : 306,549 = 306,549 : x
  2. Step 2: Convert to fraction form
    191,886/306,549 = 306,549/x
  3. Step 3: Cross multiply
    191,886x = 306,549 × 306,549
  4. Step 4: Simplify right side
    191,886x = 93,972,289,401
  5. Step 5: Solve for x
    x = 93,972,289,401/191,886
  6. Step 6: Final answer
    x = 489,729.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.