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Finding the Third Proportional to 223,268 and 312,298

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Solution

The third proportional to 223,268 and 312,298 is: 436,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,268 : 312,298 = 312,298 : x
  2. Step 2: Convert to fraction form
    223,268/312,298 = 312,298/x
  3. Step 3: Cross multiply
    223,268x = 312,298 × 312,298
  4. Step 4: Simplify right side
    223,268x = 97,530,040,804
  5. Step 5: Solve for x
    x = 97,530,040,804/223,268
  6. Step 6: Final answer
    x = 436,829.46

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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.