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Finding the Third Proportional to 384,831,000 and 840,227,196

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Solution

The third proportional to 384,831,000 and 840,227,196 is: 1,834,524,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,831,000 : 840,227,196 = 840,227,196 : x
  2. Step 2: Convert to fraction form
    384,831,000/840,227,196 = 840,227,196/x
  3. Step 3: Cross multiply
    384,831,000x = 840,227,196 × 840,227,196
  4. Step 4: Simplify right side
    384,831,000x = 705,981,740,898,022,400
  5. Step 5: Solve for x
    x = 705,981,740,898,022,400/384,831,000
  6. Step 6: Final answer
    x = 1,834,524,092.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.