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Finding the Third Proportional to 260,012 and 388,317

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Solution

The third proportional to 260,012 and 388,317 is: 579,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,012 : 388,317 = 388,317 : x
  2. Step 2: Convert to fraction form
    260,012/388,317 = 388,317/x
  3. Step 3: Cross multiply
    260,012x = 388,317 × 388,317
  4. Step 4: Simplify right side
    260,012x = 150,790,092,489
  5. Step 5: Solve for x
    x = 150,790,092,489/260,012
  6. Step 6: Final answer
    x = 579,935.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.