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Finding the Third Proportional to 2,362,266 and 5,059,123

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Solution

The third proportional to 2,362,266 and 5,059,123 is: 10,834,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362,266 : 5,059,123 = 5,059,123 : x
  2. Step 2: Convert to fraction form
    2,362,266/5,059,123 = 5,059,123/x
  3. Step 3: Cross multiply
    2,362,266x = 5,059,123 × 5,059,123
  4. Step 4: Simplify right side
    2,362,266x = 25,594,725,529,129
  5. Step 5: Solve for x
    x = 25,594,725,529,129/2,362,266
  6. Step 6: Final answer
    x = 10,834,819.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.