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Finding the Third Proportional to 254,660 and 393,069

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Solution

The third proportional to 254,660 and 393,069 is: 606,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,660 : 393,069 = 393,069 : x
  2. Step 2: Convert to fraction form
    254,660/393,069 = 393,069/x
  3. Step 3: Cross multiply
    254,660x = 393,069 × 393,069
  4. Step 4: Simplify right side
    254,660x = 154,503,238,761
  5. Step 5: Solve for x
    x = 154,503,238,761/254,660
  6. Step 6: Final answer
    x = 606,703.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.