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Finding the Third Proportional to 492,086 and 738,129

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Solution

The third proportional to 492,086 and 738,129 is: 1,107,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,086 : 738,129 = 738,129 : x
  2. Step 2: Convert to fraction form
    492,086/738,129 = 738,129/x
  3. Step 3: Cross multiply
    492,086x = 738,129 × 738,129
  4. Step 4: Simplify right side
    492,086x = 544,834,420,641
  5. Step 5: Solve for x
    x = 544,834,420,641/492,086
  6. Step 6: Final answer
    x = 1,107,193.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.