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Finding the Third Proportional to 800,050 and 1,749,543

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Solution

The third proportional to 800,050 and 1,749,543 is: 3,825,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,050 : 1,749,543 = 1,749,543 : x
  2. Step 2: Convert to fraction form
    800,050/1,749,543 = 1,749,543/x
  3. Step 3: Cross multiply
    800,050x = 1,749,543 × 1,749,543
  4. Step 4: Simplify right side
    800,050x = 3,060,900,708,849
  5. Step 5: Solve for x
    x = 3,060,900,708,849/800,050
  6. Step 6: Final answer
    x = 3,825,886.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.