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Finding the Third Proportional to 138,154 and 295,910

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Solution

The third proportional to 138,154 and 295,910 is: 633,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,154 : 295,910 = 295,910 : x
  2. Step 2: Convert to fraction form
    138,154/295,910 = 295,910/x
  3. Step 3: Cross multiply
    138,154x = 295,910 × 295,910
  4. Step 4: Simplify right side
    138,154x = 87,562,728,100
  5. Step 5: Solve for x
    x = 87,562,728,100/138,154
  6. Step 6: Final answer
    x = 633,805.23

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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.