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Finding the Third Proportional to 138,954 and 293,220

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Solution

The third proportional to 138,954 and 293,220 is: 618,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,954 : 293,220 = 293,220 : x
  2. Step 2: Convert to fraction form
    138,954/293,220 = 293,220/x
  3. Step 3: Cross multiply
    138,954x = 293,220 × 293,220
  4. Step 4: Simplify right side
    138,954x = 85,977,968,400
  5. Step 5: Solve for x
    x = 85,977,968,400/138,954
  6. Step 6: Final answer
    x = 618,751.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.