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Finding the Third Proportional to 490,219.50 and 749,434.50

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Solution

The third proportional to 490,219.50 and 749,434.50 is: 1,145,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,219.50 : 749,434.50 = 749,434.50 : x
  2. Step 2: Convert to fraction form
    490,219.50/749,434.50 = 749,434.50/x
  3. Step 3: Cross multiply
    490,219.50x = 749,434.50 × 749,434.50
  4. Step 4: Simplify right side
    490,219.50x = 561,652,069,790.25
  5. Step 5: Solve for x
    x = 561,652,069,790.25/490,219.50
  6. Step 6: Final answer
    x = 1,145,715.48

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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.