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Finding the Third Proportional to 76,997,288 and 171,209,884

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Solution

The third proportional to 76,997,288 and 171,209,884 is: 380,699,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997,288 : 171,209,884 = 171,209,884 : x
  2. Step 2: Convert to fraction form
    76,997,288/171,209,884 = 171,209,884/x
  3. Step 3: Cross multiply
    76,997,288x = 171,209,884 × 171,209,884
  4. Step 4: Simplify right side
    76,997,288x = 29,312,824,379,293,456
  5. Step 5: Solve for x
    x = 29,312,824,379,293,456/76,997,288
  6. Step 6: Final answer
    x = 380,699,439.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.