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Finding the Third Proportional to 191,322 and 420,390

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Solution

The third proportional to 191,322 and 420,390 is: 923,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,322 : 420,390 = 420,390 : x
  2. Step 2: Convert to fraction form
    191,322/420,390 = 420,390/x
  3. Step 3: Cross multiply
    191,322x = 420,390 × 420,390
  4. Step 4: Simplify right side
    191,322x = 176,727,752,100
  5. Step 5: Solve for x
    x = 176,727,752,100/191,322
  6. Step 6: Final answer
    x = 923,718.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.