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Finding the Third Proportional to 127,685 and 298,247

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Solution

The third proportional to 127,685 and 298,247 is: 696,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,685 : 298,247 = 298,247 : x
  2. Step 2: Convert to fraction form
    127,685/298,247 = 298,247/x
  3. Step 3: Cross multiply
    127,685x = 298,247 × 298,247
  4. Step 4: Simplify right side
    127,685x = 88,951,273,009
  5. Step 5: Solve for x
    x = 88,951,273,009/127,685
  6. Step 6: Final answer
    x = 696,646.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.