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Finding the Third Proportional to 813,615 and 1,749,679.50

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Solution

The third proportional to 813,615 and 1,749,679.50 is: 3,762,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,615 : 1,749,679.50 = 1,749,679.50 : x
  2. Step 2: Convert to fraction form
    813,615/1,749,679.50 = 1,749,679.50/x
  3. Step 3: Cross multiply
    813,615x = 1,749,679.50 × 1,749,679.50
  4. Step 4: Simplify right side
    813,615x = 3,061,378,352,720.25
  5. Step 5: Solve for x
    x = 3,061,378,352,720.25/813,615
  6. Step 6: Final answer
    x = 3,762,686.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.