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Finding the Third Proportional to 78,963,530 and 170,412,288

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Solution

The third proportional to 78,963,530 and 170,412,288 is: 367,769,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,963,530 : 170,412,288 = 170,412,288 : x
  2. Step 2: Convert to fraction form
    78,963,530/170,412,288 = 170,412,288/x
  3. Step 3: Cross multiply
    78,963,530x = 170,412,288 × 170,412,288
  4. Step 4: Simplify right side
    78,963,530x = 29,040,347,901,394,944
  5. Step 5: Solve for x
    x = 29,040,347,901,394,944/78,963,530
  6. Step 6: Final answer
    x = 367,769,119.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.