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Finding the Third Proportional to 76,720,128 and 164,322,768

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Solution

The third proportional to 76,720,128 and 164,322,768 is: 351,954,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,720,128 : 164,322,768 = 164,322,768 : x
  2. Step 2: Convert to fraction form
    76,720,128/164,322,768 = 164,322,768/x
  3. Step 3: Cross multiply
    76,720,128x = 164,322,768 × 164,322,768
  4. Step 4: Simplify right side
    76,720,128x = 27,001,972,083,181,824
  5. Step 5: Solve for x
    x = 27,001,972,083,181,824/76,720,128
  6. Step 6: Final answer
    x = 351,954,210.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.