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Finding the Third Proportional to 172,408 and 265,880

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Solution

The third proportional to 172,408 and 265,880 is: 410,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,408 : 265,880 = 265,880 : x
  2. Step 2: Convert to fraction form
    172,408/265,880 = 265,880/x
  3. Step 3: Cross multiply
    172,408x = 265,880 × 265,880
  4. Step 4: Simplify right side
    172,408x = 70,692,174,400
  5. Step 5: Solve for x
    x = 70,692,174,400/172,408
  6. Step 6: Final answer
    x = 410,028.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.