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Finding the Third Proportional to 254,840 and 356,436

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Solution

The third proportional to 254,840 and 356,436 is: 498,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,840 : 356,436 = 356,436 : x
  2. Step 2: Convert to fraction form
    254,840/356,436 = 356,436/x
  3. Step 3: Cross multiply
    254,840x = 356,436 × 356,436
  4. Step 4: Simplify right side
    254,840x = 127,046,622,096
  5. Step 5: Solve for x
    x = 127,046,622,096/254,840
  6. Step 6: Final answer
    x = 498,534.85

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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.