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Finding the Third Proportional to 254,846 and 356,445

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Solution

The third proportional to 254,846 and 356,445 is: 498,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,846 : 356,445 = 356,445 : x
  2. Step 2: Convert to fraction form
    254,846/356,445 = 356,445/x
  3. Step 3: Cross multiply
    254,846x = 356,445 × 356,445
  4. Step 4: Simplify right side
    254,846x = 127,053,038,025
  5. Step 5: Solve for x
    x = 127,053,038,025/254,846
  6. Step 6: Final answer
    x = 498,548.29

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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.