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Finding the Third Proportional to 189,856,479 and 285,290,235

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Solution

The third proportional to 189,856,479 and 285,290,235 is: 428,694,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,856,479 : 285,290,235 = 285,290,235 : x
  2. Step 2: Convert to fraction form
    189,856,479/285,290,235 = 285,290,235/x
  3. Step 3: Cross multiply
    189,856,479x = 285,290,235 × 285,290,235
  4. Step 4: Simplify right side
    189,856,479x = 81,390,518,186,355,232
  5. Step 5: Solve for x
    x = 81,390,518,186,355,232/189,856,479
  6. Step 6: Final answer
    x = 428,694,973.25

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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.