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Finding the Third Proportional to 382,629 and 553,119

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Solution

The third proportional to 382,629 and 553,119 is: 799,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,629 : 553,119 = 553,119 : x
  2. Step 2: Convert to fraction form
    382,629/553,119 = 553,119/x
  3. Step 3: Cross multiply
    382,629x = 553,119 × 553,119
  4. Step 4: Simplify right side
    382,629x = 305,940,628,161
  5. Step 5: Solve for x
    x = 305,940,628,161/382,629
  6. Step 6: Final answer
    x = 799,575.12

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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.