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Finding the Third Proportional to 263,133 and 553,773

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Solution

The third proportional to 263,133 and 553,773 is: 1,165,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,133 : 553,773 = 553,773 : x
  2. Step 2: Convert to fraction form
    263,133/553,773 = 553,773/x
  3. Step 3: Cross multiply
    263,133x = 553,773 × 553,773
  4. Step 4: Simplify right side
    263,133x = 306,664,535,529
  5. Step 5: Solve for x
    x = 306,664,535,529/263,133
  6. Step 6: Final answer
    x = 1,165,435.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.