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Finding the Third Proportional to 138,608 and 293,752

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Solution

The third proportional to 138,608 and 293,752 is: 622,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,608 : 293,752 = 293,752 : x
  2. Step 2: Convert to fraction form
    138,608/293,752 = 293,752/x
  3. Step 3: Cross multiply
    138,608x = 293,752 × 293,752
  4. Step 4: Simplify right side
    138,608x = 86,290,237,504
  5. Step 5: Solve for x
    x = 86,290,237,504/138,608
  6. Step 6: Final answer
    x = 622,548.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.