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Finding the Third Proportional to 208,603,518.75 and 434,374,230.38

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Solution

The third proportional to 208,603,518.75 and 434,374,230.38 is: 904,495,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,603,518.75 : 434,374,230.38 = 434,374,230.38 : x
  2. Step 2: Convert to fraction form
    208,603,518.75/434,374,230.38 = 434,374,230.38/x
  3. Step 3: Cross multiply
    208,603,518.75x = 434,374,230.38 × 434,374,230.38
  4. Step 4: Simplify right side
    208,603,518.75x = 188,680,972,013,873,568
  5. Step 5: Solve for x
    x = 188,680,972,013,873,568/208,603,518.75
  6. Step 6: Final answer
    x = 904,495,634.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.