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Finding the Third Proportional to 135,216 and 294,208

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Solution

The third proportional to 135,216 and 294,208 is: 640,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,216 : 294,208 = 294,208 : x
  2. Step 2: Convert to fraction form
    135,216/294,208 = 294,208/x
  3. Step 3: Cross multiply
    135,216x = 294,208 × 294,208
  4. Step 4: Simplify right side
    135,216x = 86,558,347,264
  5. Step 5: Solve for x
    x = 86,558,347,264/135,216
  6. Step 6: Final answer
    x = 640,148.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.