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Finding the Third Proportional to 257,282 and 395,907

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Solution

The third proportional to 257,282 and 395,907 is: 609,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,282 : 395,907 = 395,907 : x
  2. Step 2: Convert to fraction form
    257,282/395,907 = 395,907/x
  3. Step 3: Cross multiply
    257,282x = 395,907 × 395,907
  4. Step 4: Simplify right side
    257,282x = 156,742,352,649
  5. Step 5: Solve for x
    x = 156,742,352,649/257,282
  6. Step 6: Final answer
    x = 609,223.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.