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Finding the Third Proportional to 253,190 and 393,609

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Solution

The third proportional to 253,190 and 393,609 is: 611,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,190 : 393,609 = 393,609 : x
  2. Step 2: Convert to fraction form
    253,190/393,609 = 393,609/x
  3. Step 3: Cross multiply
    253,190x = 393,609 × 393,609
  4. Step 4: Simplify right side
    253,190x = 154,928,044,881
  5. Step 5: Solve for x
    x = 154,928,044,881/253,190
  6. Step 6: Final answer
    x = 611,904.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.