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Finding the Third Proportional to 137,394 and 298,116

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Solution

The third proportional to 137,394 and 298,116 is: 646,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,394 : 298,116 = 298,116 : x
  2. Step 2: Convert to fraction form
    137,394/298,116 = 298,116/x
  3. Step 3: Cross multiply
    137,394x = 298,116 × 298,116
  4. Step 4: Simplify right side
    137,394x = 88,873,149,456
  5. Step 5: Solve for x
    x = 88,873,149,456/137,394
  6. Step 6: Final answer
    x = 646,848.84

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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.