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Finding the Third Proportional to 191,507 and 268,357

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Solution

The third proportional to 191,507 and 268,357 is: 376,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,507 : 268,357 = 268,357 : x
  2. Step 2: Convert to fraction form
    191,507/268,357 = 268,357/x
  3. Step 3: Cross multiply
    191,507x = 268,357 × 268,357
  4. Step 4: Simplify right side
    191,507x = 72,015,479,449
  5. Step 5: Solve for x
    x = 72,015,479,449/191,507
  6. Step 6: Final answer
    x = 376,046.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.