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Finding the Third Proportional to 411,014 and 644,925

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Solution

The third proportional to 411,014 and 644,925 is: 1,011,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,014 : 644,925 = 644,925 : x
  2. Step 2: Convert to fraction form
    411,014/644,925 = 644,925/x
  3. Step 3: Cross multiply
    411,014x = 644,925 × 644,925
  4. Step 4: Simplify right side
    411,014x = 415,928,255,625
  5. Step 5: Solve for x
    x = 415,928,255,625/411,014
  6. Step 6: Final answer
    x = 1,011,956.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.