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Finding the Third Proportional to 235,409 and 302,257

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Solution

The third proportional to 235,409 and 302,257 is: 388,087.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,409 : 302,257 = 302,257 : x
  2. Step 2: Convert to fraction form
    235,409/302,257 = 302,257/x
  3. Step 3: Cross multiply
    235,409x = 302,257 × 302,257
  4. Step 4: Simplify right side
    235,409x = 91,359,294,049
  5. Step 5: Solve for x
    x = 91,359,294,049/235,409
  6. Step 6: Final answer
    x = 388,087.52

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.