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Finding the Third Proportional to 138,852,175 and 298,601,135

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Solution

The third proportional to 138,852,175 and 298,601,135 is: 642,140,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,852,175 : 298,601,135 = 298,601,135 : x
  2. Step 2: Convert to fraction form
    138,852,175/298,601,135 = 298,601,135/x
  3. Step 3: Cross multiply
    138,852,175x = 298,601,135 × 298,601,135
  4. Step 4: Simplify right side
    138,852,175x = 89,162,637,823,288,224
  5. Step 5: Solve for x
    x = 89,162,637,823,288,224/138,852,175
  6. Step 6: Final answer
    x = 642,140,735.81

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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.