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Finding the Third Proportional to 189,830 and 274,953

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Solution

The third proportional to 189,830 and 274,953 is: 398,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,830 : 274,953 = 274,953 : x
  2. Step 2: Convert to fraction form
    189,830/274,953 = 274,953/x
  3. Step 3: Cross multiply
    189,830x = 274,953 × 274,953
  4. Step 4: Simplify right side
    189,830x = 75,599,152,209
  5. Step 5: Solve for x
    x = 75,599,152,209/189,830
  6. Step 6: Final answer
    x = 398,246.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.