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Finding the Third Proportional to 138,852,174 and 298,601,133

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Solution

The third proportional to 138,852,174 and 298,601,133 is: 642,140,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,852,174 : 298,601,133 = 298,601,133 : x
  2. Step 2: Convert to fraction form
    138,852,174/298,601,133 = 298,601,133/x
  3. Step 3: Cross multiply
    138,852,174x = 298,601,133 × 298,601,133
  4. Step 4: Simplify right side
    138,852,174x = 89,162,636,628,883,696
  5. Step 5: Solve for x
    x = 89,162,636,628,883,696/138,852,174
  6. Step 6: Final answer
    x = 642,140,731.83

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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.