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Finding the Third Proportional to 580,622.50 and 1,184,573

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Solution

The third proportional to 580,622.50 and 1,184,573 is: 2,416,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,622.50 : 1,184,573 = 1,184,573 : x
  2. Step 2: Convert to fraction form
    580,622.50/1,184,573 = 1,184,573/x
  3. Step 3: Cross multiply
    580,622.50x = 1,184,573 × 1,184,573
  4. Step 4: Simplify right side
    580,622.50x = 1,403,213,192,329
  5. Step 5: Solve for x
    x = 1,403,213,192,329/580,622.50
  6. Step 6: Final answer
    x = 2,416,739.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.