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Finding the Third Proportional to 103,268 and 152,983

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Solution

The third proportional to 103,268 and 152,983 is: 226,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,268 : 152,983 = 152,983 : x
  2. Step 2: Convert to fraction form
    103,268/152,983 = 152,983/x
  3. Step 3: Cross multiply
    103,268x = 152,983 × 152,983
  4. Step 4: Simplify right side
    103,268x = 23,403,798,289
  5. Step 5: Solve for x
    x = 23,403,798,289/103,268
  6. Step 6: Final answer
    x = 226,631.66

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.