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Finding the Third Proportional to 131,286,096 and 285,690,240

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Solution

The third proportional to 131,286,096 and 285,690,240 is: 621,687,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,286,096 : 285,690,240 = 285,690,240 : x
  2. Step 2: Convert to fraction form
    131,286,096/285,690,240 = 285,690,240/x
  3. Step 3: Cross multiply
    131,286,096x = 285,690,240 × 285,690,240
  4. Step 4: Simplify right side
    131,286,096x = 81,618,913,231,257,600
  5. Step 5: Solve for x
    x = 81,618,913,231,257,600/131,286,096
  6. Step 6: Final answer
    x = 621,687,411.83

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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.