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Finding the Third Proportional to 189,856,426.50 and 285,290,100

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Solution

The third proportional to 189,856,426.50 and 285,290,100 is: 428,694,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,856,426.50 : 285,290,100 = 285,290,100 : x
  2. Step 2: Convert to fraction form
    189,856,426.50/285,290,100 = 285,290,100/x
  3. Step 3: Cross multiply
    189,856,426.50x = 285,290,100 × 285,290,100
  4. Step 4: Simplify right side
    189,856,426.50x = 81,390,441,158,010,000
  5. Step 5: Solve for x
    x = 81,390,441,158,010,000/189,856,426.50
  6. Step 6: Final answer
    x = 428,694,686.08

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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.