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Finding the Third Proportional to 122,288 and 160,808

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Solution

The third proportional to 122,288 and 160,808 is: 211,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,288 : 160,808 = 160,808 : x
  2. Step 2: Convert to fraction form
    122,288/160,808 = 160,808/x
  3. Step 3: Cross multiply
    122,288x = 160,808 × 160,808
  4. Step 4: Simplify right side
    122,288x = 25,859,212,864
  5. Step 5: Solve for x
    x = 25,859,212,864/122,288
  6. Step 6: Final answer
    x = 211,461.57

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.