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Finding the Third Proportional to 200,290,153 and 427,035,892

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Solution

The third proportional to 200,290,153 and 427,035,892 is: 910,477,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,290,153 : 427,035,892 = 427,035,892 : x
  2. Step 2: Convert to fraction form
    200,290,153/427,035,892 = 427,035,892/x
  3. Step 3: Cross multiply
    200,290,153x = 427,035,892 × 427,035,892
  4. Step 4: Simplify right side
    200,290,153x = 182,359,653,056,235,648
  5. Step 5: Solve for x
    x = 182,359,653,056,235,648/200,290,153
  6. Step 6: Final answer
    x = 910,477,376.57

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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.