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Finding the Third Proportional to 250,640,476 and 383,164,687.50

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Solution

The third proportional to 250,640,476 and 383,164,687.50 is: 585,760,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,640,476 : 383,164,687.50 = 383,164,687.50 : x
  2. Step 2: Convert to fraction form
    250,640,476/383,164,687.50 = 383,164,687.50/x
  3. Step 3: Cross multiply
    250,640,476x = 383,164,687.50 × 383,164,687.50
  4. Step 4: Simplify right side
    250,640,476x = 146,815,177,746,972,672
  5. Step 5: Solve for x
    x = 146,815,177,746,972,672/250,640,476
  6. Step 6: Final answer
    x = 585,760,049.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.