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Finding the Third Proportional to 127,208 and 286,868

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Solution

The third proportional to 127,208 and 286,868 is: 646,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,208 : 286,868 = 286,868 : x
  2. Step 2: Convert to fraction form
    127,208/286,868 = 286,868/x
  3. Step 3: Cross multiply
    127,208x = 286,868 × 286,868
  4. Step 4: Simplify right side
    127,208x = 82,293,249,424
  5. Step 5: Solve for x
    x = 82,293,249,424/127,208
  6. Step 6: Final answer
    x = 646,918.82

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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.