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Finding the Third Proportional to 189,311,919 and 283,213,365

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Solution

The third proportional to 189,311,919 and 283,213,365 is: 423,691,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,311,919 : 283,213,365 = 283,213,365 : x
  2. Step 2: Convert to fraction form
    189,311,919/283,213,365 = 283,213,365/x
  3. Step 3: Cross multiply
    189,311,919x = 283,213,365 × 283,213,365
  4. Step 4: Simplify right side
    189,311,919x = 80,209,810,114,623,232
  5. Step 5: Solve for x
    x = 80,209,810,114,623,232/189,311,919
  6. Step 6: Final answer
    x = 423,691,284.41

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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.