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Finding the Third Proportional to 138,789 and 298,228

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Solution

The third proportional to 138,789 and 298,228 is: 640,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,789 : 298,228 = 298,228 : x
  2. Step 2: Convert to fraction form
    138,789/298,228 = 298,228/x
  3. Step 3: Cross multiply
    138,789x = 298,228 × 298,228
  4. Step 4: Simplify right side
    138,789x = 88,939,939,984
  5. Step 5: Solve for x
    x = 88,939,939,984/138,789
  6. Step 6: Final answer
    x = 640,828.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.