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Finding the Third Proportional to 235,287 and 355,137

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Solution

The third proportional to 235,287 and 355,137 is: 536,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,287 : 355,137 = 355,137 : x
  2. Step 2: Convert to fraction form
    235,287/355,137 = 355,137/x
  3. Step 3: Cross multiply
    235,287x = 355,137 × 355,137
  4. Step 4: Simplify right side
    235,287x = 126,122,288,769
  5. Step 5: Solve for x
    x = 126,122,288,769/235,287
  6. Step 6: Final answer
    x = 536,035.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.