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Finding the Third Proportional to 189,628 and 409,623

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Solution

The third proportional to 189,628 and 409,623 is: 884,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,628 : 409,623 = 409,623 : x
  2. Step 2: Convert to fraction form
    189,628/409,623 = 409,623/x
  3. Step 3: Cross multiply
    189,628x = 409,623 × 409,623
  4. Step 4: Simplify right side
    189,628x = 167,791,002,129
  5. Step 5: Solve for x
    x = 167,791,002,129/189,628
  6. Step 6: Final answer
    x = 884,842.97

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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.