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Finding the Third Proportional to 172,070 and 260,697

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Solution

The third proportional to 172,070 and 260,697 is: 394,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,070 : 260,697 = 260,697 : x
  2. Step 2: Convert to fraction form
    172,070/260,697 = 260,697/x
  3. Step 3: Cross multiply
    172,070x = 260,697 × 260,697
  4. Step 4: Simplify right side
    172,070x = 67,962,925,809
  5. Step 5: Solve for x
    x = 67,962,925,809/172,070
  6. Step 6: Final answer
    x = 394,972.54

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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.