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Finding the Third Proportional to 128,030,876 and 280,346,200

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Solution

The third proportional to 128,030,876 and 280,346,200 is: 613,867,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,030,876 : 280,346,200 = 280,346,200 : x
  2. Step 2: Convert to fraction form
    128,030,876/280,346,200 = 280,346,200/x
  3. Step 3: Cross multiply
    128,030,876x = 280,346,200 × 280,346,200
  4. Step 4: Simplify right side
    128,030,876x = 78,593,991,854,440,000
  5. Step 5: Solve for x
    x = 78,593,991,854,440,000/128,030,876
  6. Step 6: Final answer
    x = 613,867,485.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.