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Finding the Third Proportional to 172,084 and 260,720

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Solution

The third proportional to 172,084 and 260,720 is: 395,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,084 : 260,720 = 260,720 : x
  2. Step 2: Convert to fraction form
    172,084/260,720 = 260,720/x
  3. Step 3: Cross multiply
    172,084x = 260,720 × 260,720
  4. Step 4: Simplify right side
    172,084x = 67,974,918,400
  5. Step 5: Solve for x
    x = 67,974,918,400/172,084
  6. Step 6: Final answer
    x = 395,010.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.