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Finding the Third Proportional to 128,203,232 and 302,336,144

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Solution

The third proportional to 128,203,232 and 302,336,144 is: 712,986,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,203,232 : 302,336,144 = 302,336,144 : x
  2. Step 2: Convert to fraction form
    128,203,232/302,336,144 = 302,336,144/x
  3. Step 3: Cross multiply
    128,203,232x = 302,336,144 × 302,336,144
  4. Step 4: Simplify right side
    128,203,232x = 91,407,143,968,788,736
  5. Step 5: Solve for x
    x = 91,407,143,968,788,736/128,203,232
  6. Step 6: Final answer
    x = 712,986,268.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.