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Finding the Third Proportional to 257,706 and 362,907

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Solution

The third proportional to 257,706 and 362,907 is: 511,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,706 : 362,907 = 362,907 : x
  2. Step 2: Convert to fraction form
    257,706/362,907 = 362,907/x
  3. Step 3: Cross multiply
    257,706x = 362,907 × 362,907
  4. Step 4: Simplify right side
    257,706x = 131,701,490,649
  5. Step 5: Solve for x
    x = 131,701,490,649/257,706
  6. Step 6: Final answer
    x = 511,053.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.