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Finding the Third Proportional to 260,317 and 393,248

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Solution

The third proportional to 260,317 and 393,248 is: 594,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,317 : 393,248 = 393,248 : x
  2. Step 2: Convert to fraction form
    260,317/393,248 = 393,248/x
  3. Step 3: Cross multiply
    260,317x = 393,248 × 393,248
  4. Step 4: Simplify right side
    260,317x = 154,643,989,504
  5. Step 5: Solve for x
    x = 154,643,989,504/260,317
  6. Step 6: Final answer
    x = 594,060.28

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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.