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Finding the Third Proportional to 138,852,176 and 298,601,137

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Solution

The third proportional to 138,852,176 and 298,601,137 is: 642,140,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,852,176 : 298,601,137 = 298,601,137 : x
  2. Step 2: Convert to fraction form
    138,852,176/298,601,137 = 298,601,137/x
  3. Step 3: Cross multiply
    138,852,176x = 298,601,137 × 298,601,137
  4. Step 4: Simplify right side
    138,852,176x = 89,162,639,017,692,768
  5. Step 5: Solve for x
    x = 89,162,639,017,692,768/138,852,176
  6. Step 6: Final answer
    x = 642,140,739.79

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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.