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Finding the Third Proportional to 122,340 and 172,281

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Solution

The third proportional to 122,340 and 172,281 is: 242,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,340 : 172,281 = 172,281 : x
  2. Step 2: Convert to fraction form
    122,340/172,281 = 172,281/x
  3. Step 3: Cross multiply
    122,340x = 172,281 × 172,281
  4. Step 4: Simplify right side
    122,340x = 29,680,742,961
  5. Step 5: Solve for x
    x = 29,680,742,961/122,340
  6. Step 6: Final answer
    x = 242,608.66

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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.