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Finding the Third Proportional to 190,580 and 409,704

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Solution

The third proportional to 190,580 and 409,704 is: 880,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,580 : 409,704 = 409,704 : x
  2. Step 2: Convert to fraction form
    190,580/409,704 = 409,704/x
  3. Step 3: Cross multiply
    190,580x = 409,704 × 409,704
  4. Step 4: Simplify right side
    190,580x = 167,857,367,616
  5. Step 5: Solve for x
    x = 167,857,367,616/190,580
  6. Step 6: Final answer
    x = 880,771.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.