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Finding the Third Proportional to 382,627 and 553,116

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Solution

The third proportional to 382,627 and 553,116 is: 799,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,627 : 553,116 = 553,116 : x
  2. Step 2: Convert to fraction form
    382,627/553,116 = 553,116/x
  3. Step 3: Cross multiply
    382,627x = 553,116 × 553,116
  4. Step 4: Simplify right side
    382,627x = 305,937,309,456
  5. Step 5: Solve for x
    x = 305,937,309,456/382,627
  6. Step 6: Final answer
    x = 799,570.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.