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Finding the Third Proportional to 189,608 and 409,624

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Solution

The third proportional to 189,608 and 409,624 is: 884,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,608 : 409,624 = 409,624 : x
  2. Step 2: Convert to fraction form
    189,608/409,624 = 409,624/x
  3. Step 3: Cross multiply
    189,608x = 409,624 × 409,624
  4. Step 4: Simplify right side
    189,608x = 167,791,821,376
  5. Step 5: Solve for x
    x = 167,791,821,376/189,608
  6. Step 6: Final answer
    x = 884,940.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.