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Finding the Third Proportional to 490,106 and 780,375

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Solution

The third proportional to 490,106 and 780,375 is: 1,242,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,106 : 780,375 = 780,375 : x
  2. Step 2: Convert to fraction form
    490,106/780,375 = 780,375/x
  3. Step 3: Cross multiply
    490,106x = 780,375 × 780,375
  4. Step 4: Simplify right side
    490,106x = 608,985,140,625
  5. Step 5: Solve for x
    x = 608,985,140,625/490,106
  6. Step 6: Final answer
    x = 1,242,558.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.