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Finding the Third Proportional to 163,290 and 354,192

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Solution

The third proportional to 163,290 and 354,192 is: 768,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,290 : 354,192 = 354,192 : x
  2. Step 2: Convert to fraction form
    163,290/354,192 = 354,192/x
  3. Step 3: Cross multiply
    163,290x = 354,192 × 354,192
  4. Step 4: Simplify right side
    163,290x = 125,451,972,864
  5. Step 5: Solve for x
    x = 125,451,972,864/163,290
  6. Step 6: Final answer
    x = 768,277.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.