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Finding the Third Proportional to 189,856,212.75 and 285,289,880.06

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Solution

The third proportional to 189,856,212.75 and 285,289,880.06 is: 428,694,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,856,212.75 : 285,289,880.06 = 285,289,880.06 : x
  2. Step 2: Convert to fraction form
    189,856,212.75/285,289,880.06 = 285,289,880.06/x
  3. Step 3: Cross multiply
    189,856,212.75x = 285,289,880.06 × 285,289,880.06
  4. Step 4: Simplify right side
    189,856,212.75x = 81,390,315,666,075,632
  5. Step 5: Solve for x
    x = 81,390,315,666,075,632/189,856,212.75
  6. Step 6: Final answer
    x = 428,694,507.74

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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.