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Finding the Third Proportional to 260,583 and 393,669

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Solution

The third proportional to 260,583 and 393,669 is: 594,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,583 : 393,669 = 393,669 : x
  2. Step 2: Convert to fraction form
    260,583/393,669 = 393,669/x
  3. Step 3: Cross multiply
    260,583x = 393,669 × 393,669
  4. Step 4: Simplify right side
    260,583x = 154,975,281,561
  5. Step 5: Solve for x
    x = 154,975,281,561/260,583
  6. Step 6: Final answer
    x = 594,725.22

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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.