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Finding the Third Proportional to 255,526 and 396,773

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Solution

The third proportional to 255,526 and 396,773 is: 616,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,526 : 396,773 = 396,773 : x
  2. Step 2: Convert to fraction form
    255,526/396,773 = 396,773/x
  3. Step 3: Cross multiply
    255,526x = 396,773 × 396,773
  4. Step 4: Simplify right side
    255,526x = 157,428,813,529
  5. Step 5: Solve for x
    x = 157,428,813,529/255,526
  6. Step 6: Final answer
    x = 616,097.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.