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Finding the Third Proportional to 122,670 and 178,677

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Solution

The third proportional to 122,670 and 178,677 is: 260,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,670 : 178,677 = 178,677 : x
  2. Step 2: Convert to fraction form
    122,670/178,677 = 178,677/x
  3. Step 3: Cross multiply
    122,670x = 178,677 × 178,677
  4. Step 4: Simplify right side
    122,670x = 31,925,470,329
  5. Step 5: Solve for x
    x = 31,925,470,329/122,670
  6. Step 6: Final answer
    x = 260,254.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.