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Finding the Third Proportional to 162,387 and 354,285

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Solution

The third proportional to 162,387 and 354,285 is: 772,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,387 : 354,285 = 354,285 : x
  2. Step 2: Convert to fraction form
    162,387/354,285 = 354,285/x
  3. Step 3: Cross multiply
    162,387x = 354,285 × 354,285
  4. Step 4: Simplify right side
    162,387x = 125,517,861,225
  5. Step 5: Solve for x
    x = 125,517,861,225/162,387
  6. Step 6: Final answer
    x = 772,955.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.