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Finding the Third Proportional to 8,725,584 and 18,638,916

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Solution

The third proportional to 8,725,584 and 18,638,916 is: 39,815,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725,584 : 18,638,916 = 18,638,916 : x
  2. Step 2: Convert to fraction form
    8,725,584/18,638,916 = 18,638,916/x
  3. Step 3: Cross multiply
    8,725,584x = 18,638,916 × 18,638,916
  4. Step 4: Simplify right side
    8,725,584x = 347,409,189,655,056
  5. Step 5: Solve for x
    x = 347,409,189,655,056/8,725,584
  6. Step 6: Final answer
    x = 39,815,007.19

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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.