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Finding the Third Proportional to 409,667.63 and 620,195.06

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Solution

The third proportional to 409,667.63 and 620,195.06 is: 938,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,667.63 : 620,195.06 = 620,195.06 : x
  2. Step 2: Convert to fraction form
    409,667.63/620,195.06 = 620,195.06/x
  3. Step 3: Cross multiply
    409,667.63x = 620,195.06 × 620,195.06
  4. Step 4: Simplify right side
    409,667.63x = 384,641,915,549.38
  5. Step 5: Solve for x
    x = 384,641,915,549.38/409,667.63
  6. Step 6: Final answer
    x = 938,912.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.