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Finding the Third Proportional to 305,427 and 490,972.50

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Solution

The third proportional to 305,427 and 490,972.50 is: 789,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,427 : 490,972.50 = 490,972.50 : x
  2. Step 2: Convert to fraction form
    305,427/490,972.50 = 490,972.50/x
  3. Step 3: Cross multiply
    305,427x = 490,972.50 × 490,972.50
  4. Step 4: Simplify right side
    305,427x = 241,053,995,756.25
  5. Step 5: Solve for x
    x = 241,053,995,756.25/305,427
  6. Step 6: Final answer
    x = 789,236.04

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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.