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Finding the Third Proportional to 122,238 and 163,534.50

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Solution

The third proportional to 122,238 and 163,534.50 is: 218,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,238 : 163,534.50 = 163,534.50 : x
  2. Step 2: Convert to fraction form
    122,238/163,534.50 = 163,534.50/x
  3. Step 3: Cross multiply
    122,238x = 163,534.50 × 163,534.50
  4. Step 4: Simplify right side
    122,238x = 26,743,532,690.25
  5. Step 5: Solve for x
    x = 26,743,532,690.25/122,238
  6. Step 6: Final answer
    x = 218,782.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.