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Finding the Third Proportional to 128,030,878 and 280,346,204

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Solution

The third proportional to 128,030,878 and 280,346,204 is: 613,867,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,030,878 : 280,346,204 = 280,346,204 : x
  2. Step 2: Convert to fraction form
    128,030,878/280,346,204 = 280,346,204/x
  3. Step 3: Cross multiply
    128,030,878x = 280,346,204 × 280,346,204
  4. Step 4: Simplify right side
    128,030,878x = 78,593,994,097,209,616
  5. Step 5: Solve for x
    x = 78,593,994,097,209,616/128,030,878
  6. Step 6: Final answer
    x = 613,867,492.94

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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.