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Finding the Third Proportional to 138,304 and 295,040

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Solution

The third proportional to 138,304 and 295,040 is: 629,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,304 : 295,040 = 295,040 : x
  2. Step 2: Convert to fraction form
    138,304/295,040 = 295,040/x
  3. Step 3: Cross multiply
    138,304x = 295,040 × 295,040
  4. Step 4: Simplify right side
    138,304x = 87,048,601,600
  5. Step 5: Solve for x
    x = 87,048,601,600/138,304
  6. Step 6: Final answer
    x = 629,400.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.