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Finding the Third Proportional to 127,206 and 286,863

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Solution

The third proportional to 127,206 and 286,863 is: 646,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,206 : 286,863 = 286,863 : x
  2. Step 2: Convert to fraction form
    127,206/286,863 = 286,863/x
  3. Step 3: Cross multiply
    127,206x = 286,863 × 286,863
  4. Step 4: Simplify right side
    127,206x = 82,290,380,769
  5. Step 5: Solve for x
    x = 82,290,380,769/127,206
  6. Step 6: Final answer
    x = 646,906.44

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.