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Finding the Third Proportional to 138,103 and 299,246

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Solution

The third proportional to 138,103 and 299,246 is: 648,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,103 : 299,246 = 299,246 : x
  2. Step 2: Convert to fraction form
    138,103/299,246 = 299,246/x
  3. Step 3: Cross multiply
    138,103x = 299,246 × 299,246
  4. Step 4: Simplify right side
    138,103x = 89,548,168,516
  5. Step 5: Solve for x
    x = 89,548,168,516/138,103
  6. Step 6: Final answer
    x = 648,415.81

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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.