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Finding the Third Proportional to 1,284,109,689 and 1,967,615,245.50

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Solution

The third proportional to 1,284,109,689 and 1,967,615,245.50 is: 3,014,936,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,109,689 : 1,967,615,245.50 = 1,967,615,245.50 : x
  2. Step 2: Convert to fraction form
    1,284,109,689/1,967,615,245.50 = 1,967,615,245.50/x
  3. Step 3: Cross multiply
    1,284,109,689x = 1,967,615,245.50 × 1,967,615,245.50
  4. Step 4: Simplify right side
    1,284,109,689x = 3,871,509,754,324,025,344
  5. Step 5: Solve for x
    x = 3,871,509,754,324,025,344/1,284,109,689
  6. Step 6: Final answer
    x = 3,014,936,953.98

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