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Finding the Third Proportional to 122,688 and 179,979

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Solution

The third proportional to 122,688 and 179,979 is: 264,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,688 : 179,979 = 179,979 : x
  2. Step 2: Convert to fraction form
    122,688/179,979 = 179,979/x
  3. Step 3: Cross multiply
    122,688x = 179,979 × 179,979
  4. Step 4: Simplify right side
    122,688x = 32,392,440,441
  5. Step 5: Solve for x
    x = 32,392,440,441/122,688
  6. Step 6: Final answer
    x = 264,022.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.