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Finding the Third Proportional to 138,845,481 and 289,183,116

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Solution

The third proportional to 138,845,481 and 289,183,116 is: 602,301,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,845,481 : 289,183,116 = 289,183,116 : x
  2. Step 2: Convert to fraction form
    138,845,481/289,183,116 = 289,183,116/x
  3. Step 3: Cross multiply
    138,845,481x = 289,183,116 × 289,183,116
  4. Step 4: Simplify right side
    138,845,481x = 83,626,874,579,469,456
  5. Step 5: Solve for x
    x = 83,626,874,579,469,456/138,845,481
  6. Step 6: Final answer
    x = 602,301,738.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.