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Finding the Third Proportional to 122,320 and 172,253

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Solution

The third proportional to 122,320 and 172,253 is: 242,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,320 : 172,253 = 172,253 : x
  2. Step 2: Convert to fraction form
    122,320/172,253 = 172,253/x
  3. Step 3: Cross multiply
    122,320x = 172,253 × 172,253
  4. Step 4: Simplify right side
    122,320x = 29,671,096,009
  5. Step 5: Solve for x
    x = 29,671,096,009/122,320
  6. Step 6: Final answer
    x = 242,569.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.