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Finding the Third Proportional to 218,485,678 and 468,135,354

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Solution

The third proportional to 218,485,678 and 468,135,354 is: 1,003,043,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,485,678 : 468,135,354 = 468,135,354 : x
  2. Step 2: Convert to fraction form
    218,485,678/468,135,354 = 468,135,354/x
  3. Step 3: Cross multiply
    218,485,678x = 468,135,354 × 468,135,354
  4. Step 4: Simplify right side
    218,485,678x = 219,150,709,664,705,312
  5. Step 5: Solve for x
    x = 219,150,709,664,705,312/218,485,678
  6. Step 6: Final answer
    x = 1,003,043,822.69

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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.