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Finding the Third Proportional to 10,279,896 and 15,421,806

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Solution

The third proportional to 10,279,896 and 15,421,806 is: 23,135,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279,896 : 15,421,806 = 15,421,806 : x
  2. Step 2: Convert to fraction form
    10,279,896/15,421,806 = 15,421,806/x
  3. Step 3: Cross multiply
    10,279,896x = 15,421,806 × 15,421,806
  4. Step 4: Simplify right side
    10,279,896x = 237,832,100,301,636
  5. Step 5: Solve for x
    x = 237,832,100,301,636/10,279,896
  6. Step 6: Final answer
    x = 23,135,652.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.