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Finding the Third Proportional to 198,920,172 and 418,453,749

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Solution

The third proportional to 198,920,172 and 418,453,749 is: 880,270,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,920,172 : 418,453,749 = 418,453,749 : x
  2. Step 2: Convert to fraction form
    198,920,172/418,453,749 = 418,453,749/x
  3. Step 3: Cross multiply
    198,920,172x = 418,453,749 × 418,453,749
  4. Step 4: Simplify right side
    198,920,172x = 175,103,540,052,155,008
  5. Step 5: Solve for x
    x = 175,103,540,052,155,008/198,920,172
  6. Step 6: Final answer
    x = 880,270,403.41

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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.