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Finding the Third Proportional to 190,686.75 and 258,976.50

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Solution

The third proportional to 190,686.75 and 258,976.50 is: 351,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,686.75 : 258,976.50 = 258,976.50 : x
  2. Step 2: Convert to fraction form
    190,686.75/258,976.50 = 258,976.50/x
  3. Step 3: Cross multiply
    190,686.75x = 258,976.50 × 258,976.50
  4. Step 4: Simplify right side
    190,686.75x = 67,068,827,552.25
  5. Step 5: Solve for x
    x = 67,068,827,552.25/190,686.75
  6. Step 6: Final answer
    x = 351,722.54

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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.