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Finding the Third Proportional to 260,313 and 393,242

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Solution

The third proportional to 260,313 and 393,242 is: 594,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,313 : 393,242 = 393,242 : x
  2. Step 2: Convert to fraction form
    260,313/393,242 = 393,242/x
  3. Step 3: Cross multiply
    260,313x = 393,242 × 393,242
  4. Step 4: Simplify right side
    260,313x = 154,639,270,564
  5. Step 5: Solve for x
    x = 154,639,270,564/260,313
  6. Step 6: Final answer
    x = 594,051.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.