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Finding the Third Proportional to 122,153.50 and 186,863.50

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Solution

The third proportional to 122,153.50 and 186,863.50 is: 285,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,153.50 : 186,863.50 = 186,863.50 : x
  2. Step 2: Convert to fraction form
    122,153.50/186,863.50 = 186,863.50/x
  3. Step 3: Cross multiply
    122,153.50x = 186,863.50 × 186,863.50
  4. Step 4: Simplify right side
    122,153.50x = 34,917,967,632.25
  5. Step 5: Solve for x
    x = 34,917,967,632.25/122,153.50
  6. Step 6: Final answer
    x = 285,853.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.