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Finding the Third Proportional to 254,356.75 and 404,885.50

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Solution

The third proportional to 254,356.75 and 404,885.50 is: 644,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,356.75 : 404,885.50 = 404,885.50 : x
  2. Step 2: Convert to fraction form
    254,356.75/404,885.50 = 404,885.50/x
  3. Step 3: Cross multiply
    254,356.75x = 404,885.50 × 404,885.50
  4. Step 4: Simplify right side
    254,356.75x = 163,932,268,110.25
  5. Step 5: Solve for x
    x = 163,932,268,110.25/254,356.75
  6. Step 6: Final answer
    x = 644,497.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.