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Finding the Third Proportional to 132,448,128 and 197,856,512

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Solution

The third proportional to 132,448,128 and 197,856,512 is: 295,566,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,448,128 : 197,856,512 = 197,856,512 : x
  2. Step 2: Convert to fraction form
    132,448,128/197,856,512 = 197,856,512/x
  3. Step 3: Cross multiply
    132,448,128x = 197,856,512 × 197,856,512
  4. Step 4: Simplify right side
    132,448,128x = 39,147,199,340,806,144
  5. Step 5: Solve for x
    x = 39,147,199,340,806,144/132,448,128
  6. Step 6: Final answer
    x = 295,566,271.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.