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Finding the Third Proportional to 138,512.25 and 298,894.50

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Solution

The third proportional to 138,512.25 and 298,894.50 is: 644,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,512.25 : 298,894.50 = 298,894.50 : x
  2. Step 2: Convert to fraction form
    138,512.25/298,894.50 = 298,894.50/x
  3. Step 3: Cross multiply
    138,512.25x = 298,894.50 × 298,894.50
  4. Step 4: Simplify right side
    138,512.25x = 89,337,922,130.25
  5. Step 5: Solve for x
    x = 89,337,922,130.25/138,512.25
  6. Step 6: Final answer
    x = 644,982.10

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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.