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Finding the Third Proportional to 260,282.25 and 393,705

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Solution

The third proportional to 260,282.25 and 393,705 is: 595,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,282.25 : 393,705 = 393,705 : x
  2. Step 2: Convert to fraction form
    260,282.25/393,705 = 393,705/x
  3. Step 3: Cross multiply
    260,282.25x = 393,705 × 393,705
  4. Step 4: Simplify right side
    260,282.25x = 155,003,627,025
  5. Step 5: Solve for x
    x = 155,003,627,025/260,282.25
  6. Step 6: Final answer
    x = 595,521.31

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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.