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Finding the Third Proportional to 199,458 and 306,564

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Solution

The third proportional to 199,458 and 306,564 is: 471,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,458 : 306,564 = 306,564 : x
  2. Step 2: Convert to fraction form
    199,458/306,564 = 306,564/x
  3. Step 3: Cross multiply
    199,458x = 306,564 × 306,564
  4. Step 4: Simplify right side
    199,458x = 93,981,486,096
  5. Step 5: Solve for x
    x = 93,981,486,096/199,458
  6. Step 6: Final answer
    x = 471,184.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.