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Finding the Third Proportional to 209,921,241 and 289,372,288.50

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Solution

The third proportional to 209,921,241 and 289,372,288.50 is: 398,893,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,921,241 : 289,372,288.50 = 289,372,288.50 : x
  2. Step 2: Convert to fraction form
    209,921,241/289,372,288.50 = 289,372,288.50/x
  3. Step 3: Cross multiply
    209,921,241x = 289,372,288.50 × 289,372,288.50
  4. Step 4: Simplify right side
    209,921,241x = 83,736,321,351,727,232
  5. Step 5: Solve for x
    x = 83,736,321,351,727,232/209,921,241
  6. Step 6: Final answer
    x = 398,893,989.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.