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Finding the Third Proportional to 305,426 and 490,971

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Solution

The third proportional to 305,426 and 490,971 is: 789,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,426 : 490,971 = 490,971 : x
  2. Step 2: Convert to fraction form
    305,426/490,971 = 490,971/x
  3. Step 3: Cross multiply
    305,426x = 490,971 × 490,971
  4. Step 4: Simplify right side
    305,426x = 241,052,522,841
  5. Step 5: Solve for x
    x = 241,052,522,841/305,426
  6. Step 6: Final answer
    x = 789,233.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.