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Finding the Third Proportional to 10,200,626.63 and 22,405,185.38

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Solution

The third proportional to 10,200,626.63 and 22,405,185.38 is: 49,211,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200,626.63 : 22,405,185.38 = 22,405,185.38 : x
  2. Step 2: Convert to fraction form
    10,200,626.63/22,405,185.38 = 22,405,185.38/x
  3. Step 3: Cross multiply
    10,200,626.63x = 22,405,185.38 × 22,405,185.38
  4. Step 4: Simplify right side
    10,200,626.63x = 501,992,331,688,113.88
  5. Step 5: Solve for x
    x = 501,992,331,688,113.88/10,200,626.63
  6. Step 6: Final answer
    x = 49,211,911.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.