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Finding the Third Proportional to 190,705 and 258,705

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Solution

The third proportional to 190,705 and 258,705 is: 350,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,705 : 258,705 = 258,705 : x
  2. Step 2: Convert to fraction form
    190,705/258,705 = 258,705/x
  3. Step 3: Cross multiply
    190,705x = 258,705 × 258,705
  4. Step 4: Simplify right side
    190,705x = 66,928,277,025
  5. Step 5: Solve for x
    x = 66,928,277,025/190,705
  6. Step 6: Final answer
    x = 350,951.87

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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.