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Finding the Third Proportional to 173,180 and 260,278

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Solution

The third proportional to 173,180 and 260,278 is: 391,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,180 : 260,278 = 260,278 : x
  2. Step 2: Convert to fraction form
    173,180/260,278 = 260,278/x
  3. Step 3: Cross multiply
    173,180x = 260,278 × 260,278
  4. Step 4: Simplify right side
    173,180x = 67,744,637,284
  5. Step 5: Solve for x
    x = 67,744,637,284/173,180
  6. Step 6: Final answer
    x = 391,180.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.