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Finding the Third Proportional to 254,836 and 356,430

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Solution

The third proportional to 254,836 and 356,430 is: 498,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,836 : 356,430 = 356,430 : x
  2. Step 2: Convert to fraction form
    254,836/356,430 = 356,430/x
  3. Step 3: Cross multiply
    254,836x = 356,430 × 356,430
  4. Step 4: Simplify right side
    254,836x = 127,042,344,900
  5. Step 5: Solve for x
    x = 127,042,344,900/254,836
  6. Step 6: Final answer
    x = 498,525.89

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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.