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Finding the Third Proportional to 382,633 and 553,123

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Solution

The third proportional to 382,633 and 553,123 is: 799,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,633 : 553,123 = 553,123 : x
  2. Step 2: Convert to fraction form
    382,633/553,123 = 553,123/x
  3. Step 3: Cross multiply
    382,633x = 553,123 × 553,123
  4. Step 4: Simplify right side
    382,633x = 305,945,053,129
  5. Step 5: Solve for x
    x = 305,945,053,129/382,633
  6. Step 6: Final answer
    x = 799,578.32

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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.