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Finding the Third Proportional to 113,800,198 and 162,618,056

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Solution

The third proportional to 113,800,198 and 162,618,056 is: 232,377,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,800,198 : 162,618,056 = 162,618,056 : x
  2. Step 2: Convert to fraction form
    113,800,198/162,618,056 = 162,618,056/x
  3. Step 3: Cross multiply
    113,800,198x = 162,618,056 × 162,618,056
  4. Step 4: Simplify right side
    113,800,198x = 26,444,632,137,219,136
  5. Step 5: Solve for x
    x = 26,444,632,137,219,136/113,800,198
  6. Step 6: Final answer
    x = 232,377,733.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.