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Finding the Third Proportional to 128,995,400 and 280,664,608

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Solution

The third proportional to 128,995,400 and 280,664,608 is: 610,662,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,995,400 : 280,664,608 = 280,664,608 : x
  2. Step 2: Convert to fraction form
    128,995,400/280,664,608 = 280,664,608/x
  3. Step 3: Cross multiply
    128,995,400x = 280,664,608 × 280,664,608
  4. Step 4: Simplify right side
    128,995,400x = 78,772,622,183,793,664
  5. Step 5: Solve for x
    x = 78,772,622,183,793,664/128,995,400
  6. Step 6: Final answer
    x = 610,662,257.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.