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Finding the Third Proportional to 138,466 and 298,152

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Solution

The third proportional to 138,466 and 298,152 is: 641,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,466 : 298,152 = 298,152 : x
  2. Step 2: Convert to fraction form
    138,466/298,152 = 298,152/x
  3. Step 3: Cross multiply
    138,466x = 298,152 × 298,152
  4. Step 4: Simplify right side
    138,466x = 88,894,615,104
  5. Step 5: Solve for x
    x = 88,894,615,104/138,466
  6. Step 6: Final answer
    x = 641,995.98

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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.