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Finding the Third Proportional to 76,997,284 and 171,209,876

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Solution

The third proportional to 76,997,284 and 171,209,876 is: 380,699,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997,284 : 171,209,876 = 171,209,876 : x
  2. Step 2: Convert to fraction form
    76,997,284/171,209,876 = 171,209,876/x
  3. Step 3: Cross multiply
    76,997,284x = 171,209,876 × 171,209,876
  4. Step 4: Simplify right side
    76,997,284x = 29,312,821,639,935,376
  5. Step 5: Solve for x
    x = 29,312,821,639,935,376/76,997,284
  6. Step 6: Final answer
    x = 380,699,423.63

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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.