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Finding the Third Proportional to 122,802 and 189,630

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Solution

The third proportional to 122,802 and 189,630 is: 292,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,802 : 189,630 = 189,630 : x
  2. Step 2: Convert to fraction form
    122,802/189,630 = 189,630/x
  3. Step 3: Cross multiply
    122,802x = 189,630 × 189,630
  4. Step 4: Simplify right side
    122,802x = 35,959,536,900
  5. Step 5: Solve for x
    x = 35,959,536,900/122,802
  6. Step 6: Final answer
    x = 292,825.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.