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Finding the Third Proportional to 138,050 and 298,672

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Solution

The third proportional to 138,050 and 298,672 is: 646,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,050 : 298,672 = 298,672 : x
  2. Step 2: Convert to fraction form
    138,050/298,672 = 298,672/x
  3. Step 3: Cross multiply
    138,050x = 298,672 × 298,672
  4. Step 4: Simplify right side
    138,050x = 89,204,963,584
  5. Step 5: Solve for x
    x = 89,204,963,584/138,050
  6. Step 6: Final answer
    x = 646,178.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.