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Finding the Third Proportional to 257,670.94 and 401,229.66

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Solution

The third proportional to 257,670.94 and 401,229.66 is: 624,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,670.94 : 401,229.66 = 401,229.66 : x
  2. Step 2: Convert to fraction form
    257,670.94/401,229.66 = 401,229.66/x
  3. Step 3: Cross multiply
    257,670.94x = 401,229.66 × 401,229.66
  4. Step 4: Simplify right side
    257,670.94x = 160,985,237,054.49
  5. Step 5: Solve for x
    x = 160,985,237,054.49/257,670.94
  6. Step 6: Final answer
    x = 624,770.64

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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.