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Finding the Third Proportional to 135,398 and 297,788

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Solution

The third proportional to 135,398 and 297,788 is: 654,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,398 : 297,788 = 297,788 : x
  2. Step 2: Convert to fraction form
    135,398/297,788 = 297,788/x
  3. Step 3: Cross multiply
    135,398x = 297,788 × 297,788
  4. Step 4: Simplify right side
    135,398x = 88,677,692,944
  5. Step 5: Solve for x
    x = 88,677,692,944/135,398
  6. Step 6: Final answer
    x = 654,940.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.