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Finding the Third Proportional to 190,637 and 376,489

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Solution

The third proportional to 190,637 and 376,489 is: 743,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,637 : 376,489 = 376,489 : x
  2. Step 2: Convert to fraction form
    190,637/376,489 = 376,489/x
  3. Step 3: Cross multiply
    190,637x = 376,489 × 376,489
  4. Step 4: Simplify right side
    190,637x = 141,743,967,121
  5. Step 5: Solve for x
    x = 141,743,967,121/190,637
  6. Step 6: Final answer
    x = 743,528.10

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.