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Finding the Third Proportional to 285,706 and 622,207

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Solution

The third proportional to 285,706 and 622,207 is: 1,355,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,706 : 622,207 = 622,207 : x
  2. Step 2: Convert to fraction form
    285,706/622,207 = 622,207/x
  3. Step 3: Cross multiply
    285,706x = 622,207 × 622,207
  4. Step 4: Simplify right side
    285,706x = 387,141,550,849
  5. Step 5: Solve for x
    x = 387,141,550,849/285,706
  6. Step 6: Final answer
    x = 1,355,034.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.