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Finding the Third Proportional to 208,562,296 and 284,026,248

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Solution

The third proportional to 208,562,296 and 284,026,248 is: 386,795,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,562,296 : 284,026,248 = 284,026,248 : x
  2. Step 2: Convert to fraction form
    208,562,296/284,026,248 = 284,026,248/x
  3. Step 3: Cross multiply
    208,562,296x = 284,026,248 × 284,026,248
  4. Step 4: Simplify right side
    208,562,296x = 80,670,909,552,957,504
  5. Step 5: Solve for x
    x = 80,670,909,552,957,504/208,562,296
  6. Step 6: Final answer
    x = 386,795,269.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.