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Finding the Third Proportional to 198,912,889.69 and 418,440,532.50

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Solution

The third proportional to 198,912,889.69 and 418,440,532.50 is: 880,247,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,912,889.69 : 418,440,532.50 = 418,440,532.50 : x
  2. Step 2: Convert to fraction form
    198,912,889.69/418,440,532.50 = 418,440,532.50/x
  3. Step 3: Cross multiply
    198,912,889.69x = 418,440,532.50 × 418,440,532.50
  4. Step 4: Simplify right side
    198,912,889.69x = 175,092,479,238,883,552
  5. Step 5: Solve for x
    x = 175,092,479,238,883,552/198,912,889.69
  6. Step 6: Final answer
    x = 880,247,024.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.