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Finding the Third Proportional to 188,420,638 and 284,422,313

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Solution

The third proportional to 188,420,638 and 284,422,313 is: 429,337,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,420,638 : 284,422,313 = 284,422,313 : x
  2. Step 2: Convert to fraction form
    188,420,638/284,422,313 = 284,422,313/x
  3. Step 3: Cross multiply
    188,420,638x = 284,422,313 × 284,422,313
  4. Step 4: Simplify right side
    188,420,638x = 80,896,052,132,269,968
  5. Step 5: Solve for x
    x = 80,896,052,132,269,968/188,420,638
  6. Step 6: Final answer
    x = 429,337,534.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.