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Finding the Third Proportional to 138,100 and 299,240

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Solution

The third proportional to 138,100 and 299,240 is: 648,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,100 : 299,240 = 299,240 : x
  2. Step 2: Convert to fraction form
    138,100/299,240 = 299,240/x
  3. Step 3: Cross multiply
    138,100x = 299,240 × 299,240
  4. Step 4: Simplify right side
    138,100x = 89,544,577,600
  5. Step 5: Solve for x
    x = 89,544,577,600/138,100
  6. Step 6: Final answer
    x = 648,403.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.