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Finding the Third Proportional to 94,540,128 and 205,644,672

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Solution

The third proportional to 94,540,128 and 205,644,672 is: 447,320,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540,128 : 205,644,672 = 205,644,672 : x
  2. Step 2: Convert to fraction form
    94,540,128/205,644,672 = 205,644,672/x
  3. Step 3: Cross multiply
    94,540,128x = 205,644,672 × 205,644,672
  4. Step 4: Simplify right side
    94,540,128x = 42,289,731,121,987,584
  5. Step 5: Solve for x
    x = 42,289,731,121,987,584/94,540,128
  6. Step 6: Final answer
    x = 447,320,434.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.