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Finding the Third Proportional to 190,690 and 258,981

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Solution

The third proportional to 190,690 and 258,981 is: 351,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,690 : 258,981 = 258,981 : x
  2. Step 2: Convert to fraction form
    190,690/258,981 = 258,981/x
  3. Step 3: Cross multiply
    190,690x = 258,981 × 258,981
  4. Step 4: Simplify right side
    190,690x = 67,071,158,361
  5. Step 5: Solve for x
    x = 67,071,158,361/190,690
  6. Step 6: Final answer
    x = 351,728.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.