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Finding the Third Proportional to 194,346 and 258,282

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Solution

The third proportional to 194,346 and 258,282 is: 343,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,346 : 258,282 = 258,282 : x
  2. Step 2: Convert to fraction form
    194,346/258,282 = 258,282/x
  3. Step 3: Cross multiply
    194,346x = 258,282 × 258,282
  4. Step 4: Simplify right side
    194,346x = 66,709,591,524
  5. Step 5: Solve for x
    x = 66,709,591,524/194,346
  6. Step 6: Final answer
    x = 343,251.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.