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Finding the Third Proportional to 200,290,197 and 427,035,972

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Solution

The third proportional to 200,290,197 and 427,035,972 is: 910,477,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,290,197 : 427,035,972 = 427,035,972 : x
  2. Step 2: Convert to fraction form
    200,290,197/427,035,972 = 427,035,972/x
  3. Step 3: Cross multiply
    200,290,197x = 427,035,972 × 427,035,972
  4. Step 4: Simplify right side
    200,290,197x = 182,359,721,381,984,768
  5. Step 5: Solve for x
    x = 182,359,721,381,984,768/200,290,197
  6. Step 6: Final answer
    x = 910,477,517.69

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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.