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Finding the Third Proportional to 490,108.50 and 749,580.75

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Solution

The third proportional to 490,108.50 and 749,580.75 is: 1,146,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,108.50 : 749,580.75 = 749,580.75 : x
  2. Step 2: Convert to fraction form
    490,108.50/749,580.75 = 749,580.75/x
  3. Step 3: Cross multiply
    490,108.50x = 749,580.75 × 749,580.75
  4. Step 4: Simplify right side
    490,108.50x = 561,871,300,770.56
  5. Step 5: Solve for x
    x = 561,871,300,770.56/490,108.50
  6. Step 6: Final answer
    x = 1,146,422.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.