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Finding the Third Proportional to 200,005 and 292,109

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Solution

The third proportional to 200,005 and 292,109 is: 426,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,005 : 292,109 = 292,109 : x
  2. Step 2: Convert to fraction form
    200,005/292,109 = 292,109/x
  3. Step 3: Cross multiply
    200,005x = 292,109 × 292,109
  4. Step 4: Simplify right side
    200,005x = 85,327,667,881
  5. Step 5: Solve for x
    x = 85,327,667,881/200,005
  6. Step 6: Final answer
    x = 426,627.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.