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Finding the Third Proportional to 191,977 and 258,441

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Solution

The third proportional to 191,977 and 258,441 is: 347,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,977 : 258,441 = 258,441 : x
  2. Step 2: Convert to fraction form
    191,977/258,441 = 258,441/x
  3. Step 3: Cross multiply
    191,977x = 258,441 × 258,441
  4. Step 4: Simplify right side
    191,977x = 66,791,750,481
  5. Step 5: Solve for x
    x = 66,791,750,481/191,977
  6. Step 6: Final answer
    x = 347,915.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.