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Finding the Third Proportional to 254,872 and 356,480

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Solution

The third proportional to 254,872 and 356,480 is: 498,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,872 : 356,480 = 356,480 : x
  2. Step 2: Convert to fraction form
    254,872/356,480 = 356,480/x
  3. Step 3: Cross multiply
    254,872x = 356,480 × 356,480
  4. Step 4: Simplify right side
    254,872x = 127,077,990,400
  5. Step 5: Solve for x
    x = 127,077,990,400/254,872
  6. Step 6: Final answer
    x = 498,595.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.