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Finding the Third Proportional to 200,290,120 and 427,035,832

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Solution

The third proportional to 200,290,120 and 427,035,832 is: 910,477,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,290,120 : 427,035,832 = 427,035,832 : x
  2. Step 2: Convert to fraction form
    200,290,120/427,035,832 = 427,035,832/x
  3. Step 3: Cross multiply
    200,290,120x = 427,035,832 × 427,035,832
  4. Step 4: Simplify right side
    200,290,120x = 182,359,601,811,932,224
  5. Step 5: Solve for x
    x = 182,359,601,811,932,224/200,290,120
  6. Step 6: Final answer
    x = 910,477,270.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.