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Finding the Third Proportional to 255,950 and 398,421

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Solution

The third proportional to 255,950 and 398,421 is: 620,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,950 : 398,421 = 398,421 : x
  2. Step 2: Convert to fraction form
    255,950/398,421 = 398,421/x
  3. Step 3: Cross multiply
    255,950x = 398,421 × 398,421
  4. Step 4: Simplify right side
    255,950x = 158,739,293,241
  5. Step 5: Solve for x
    x = 158,739,293,241/255,950
  6. Step 6: Final answer
    x = 620,196.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.