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Finding the Third Proportional to 255,552 and 400,947

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Solution

The third proportional to 255,552 and 400,947 is: 629,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,552 : 400,947 = 400,947 : x
  2. Step 2: Convert to fraction form
    255,552/400,947 = 400,947/x
  3. Step 3: Cross multiply
    255,552x = 400,947 × 400,947
  4. Step 4: Simplify right side
    255,552x = 160,758,496,809
  5. Step 5: Solve for x
    x = 160,758,496,809/255,552
  6. Step 6: Final answer
    x = 629,063.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.