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Finding the Third Proportional to 189,855,322.88 and 285,288,485.06

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Solution

The third proportional to 189,855,322.88 and 285,288,485.06 is: 428,692,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,855,322.88 : 285,288,485.06 = 285,288,485.06 : x
  2. Step 2: Convert to fraction form
    189,855,322.88/285,288,485.06 = 285,288,485.06/x
  3. Step 3: Cross multiply
    189,855,322.88x = 285,288,485.06 × 285,288,485.06
  4. Step 4: Simplify right side
    189,855,322.88x = 81,389,519,709,256,288
  5. Step 5: Solve for x
    x = 81,389,519,709,256,288/189,855,322.88
  6. Step 6: Final answer
    x = 428,692,324.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.