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Finding the Third Proportional to 432,190,525.50 and 946,347,867

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Solution

The third proportional to 432,190,525.50 and 946,347,867 is: 2,072,174,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,190,525.50 : 946,347,867 = 946,347,867 : x
  2. Step 2: Convert to fraction form
    432,190,525.50/946,347,867 = 946,347,867/x
  3. Step 3: Cross multiply
    432,190,525.50x = 946,347,867 × 946,347,867
  4. Step 4: Simplify right side
    432,190,525.50x = 895,574,285,375,449,728
  5. Step 5: Solve for x
    x = 895,574,285,375,449,728/432,190,525.50
  6. Step 6: Final answer
    x = 2,072,174,729.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.