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Finding the Third Proportional to 189,387 and 418,140

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Solution

The third proportional to 189,387 and 418,140 is: 923,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,387 : 418,140 = 418,140 : x
  2. Step 2: Convert to fraction form
    189,387/418,140 = 418,140/x
  3. Step 3: Cross multiply
    189,387x = 418,140 × 418,140
  4. Step 4: Simplify right side
    189,387x = 174,841,059,600
  5. Step 5: Solve for x
    x = 174,841,059,600/189,387
  6. Step 6: Final answer
    x = 923,194.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.