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Finding the Third Proportional to 301,867 and 698,272

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Solution

The third proportional to 301,867 and 698,272 is: 1,615,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,867 : 698,272 = 698,272 : x
  2. Step 2: Convert to fraction form
    301,867/698,272 = 698,272/x
  3. Step 3: Cross multiply
    301,867x = 698,272 × 698,272
  4. Step 4: Simplify right side
    301,867x = 487,583,785,984
  5. Step 5: Solve for x
    x = 487,583,785,984/301,867
  6. Step 6: Final answer
    x = 1,615,227.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.