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Finding the Third Proportional to 8,145,638 and 12,077,509

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Solution

The third proportional to 8,145,638 and 12,077,509 is: 17,907,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145,638 : 12,077,509 = 12,077,509 : x
  2. Step 2: Convert to fraction form
    8,145,638/12,077,509 = 12,077,509/x
  3. Step 3: Cross multiply
    8,145,638x = 12,077,509 × 12,077,509
  4. Step 4: Simplify right side
    8,145,638x = 145,866,223,645,081
  5. Step 5: Solve for x
    x = 145,866,223,645,081/8,145,638
  6. Step 6: Final answer
    x = 17,907,280.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.