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Finding the Third Proportional to 254,844 and 356,442

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Solution

The third proportional to 254,844 and 356,442 is: 498,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,844 : 356,442 = 356,442 : x
  2. Step 2: Convert to fraction form
    254,844/356,442 = 356,442/x
  3. Step 3: Cross multiply
    254,844x = 356,442 × 356,442
  4. Step 4: Simplify right side
    254,844x = 127,050,899,364
  5. Step 5: Solve for x
    x = 127,050,899,364/254,844
  6. Step 6: Final answer
    x = 498,543.81

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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.