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Finding the Third Proportional to 200,290,107.38 and 427,035,807

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Solution

The third proportional to 200,290,107.38 and 427,035,807 is: 910,477,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,290,107.38 : 427,035,807 = 427,035,807 : x
  2. Step 2: Convert to fraction form
    200,290,107.38/427,035,807 = 427,035,807/x
  3. Step 3: Cross multiply
    200,290,107.38x = 427,035,807 × 427,035,807
  4. Step 4: Simplify right side
    200,290,107.38x = 182,359,580,460,141,248
  5. Step 5: Solve for x
    x = 182,359,580,460,141,248/200,290,107.38
  6. Step 6: Final answer
    x = 910,477,221.52

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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.