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Finding the Third Proportional to 138,430 and 296,054

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Solution

The third proportional to 138,430 and 296,054 is: 633,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,430 : 296,054 = 296,054 : x
  2. Step 2: Convert to fraction form
    138,430/296,054 = 296,054/x
  3. Step 3: Cross multiply
    138,430x = 296,054 × 296,054
  4. Step 4: Simplify right side
    138,430x = 87,647,970,916
  5. Step 5: Solve for x
    x = 87,647,970,916/138,430
  6. Step 6: Final answer
    x = 633,157.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.