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Finding the Third Proportional to 216,044,217 and 308,722,171.50

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Solution

The third proportional to 216,044,217 and 308,722,171.50 is: 441,156,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,044,217 : 308,722,171.50 = 308,722,171.50 : x
  2. Step 2: Convert to fraction form
    216,044,217/308,722,171.50 = 308,722,171.50/x
  3. Step 3: Cross multiply
    216,044,217x = 308,722,171.50 × 308,722,171.50
  4. Step 4: Simplify right side
    216,044,217x = 95,309,379,175,675,408
  5. Step 5: Solve for x
    x = 95,309,379,175,675,408/216,044,217
  6. Step 6: Final answer
    x = 441,156,817.34

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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.