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Finding the Third Proportional to 138,236,028 and 296,986,728

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Solution

The third proportional to 138,236,028 and 296,986,728 is: 638,047,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,236,028 : 296,986,728 = 296,986,728 : x
  2. Step 2: Convert to fraction form
    138,236,028/296,986,728 = 296,986,728/x
  3. Step 3: Cross multiply
    138,236,028x = 296,986,728 × 296,986,728
  4. Step 4: Simplify right side
    138,236,028x = 88,201,116,608,145,984
  5. Step 5: Solve for x
    x = 88,201,116,608,145,984/138,236,028
  6. Step 6: Final answer
    x = 638,047,243.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.