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Finding the Third Proportional to 255,555.56 and 400,914.56

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Solution

The third proportional to 255,555.56 and 400,914.56 is: 628,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,555.56 : 400,914.56 = 400,914.56 : x
  2. Step 2: Convert to fraction form
    255,555.56/400,914.56 = 400,914.56/x
  3. Step 3: Cross multiply
    255,555.56x = 400,914.56 × 400,914.56
  4. Step 4: Simplify right side
    255,555.56x = 160,732,486,424.57
  5. Step 5: Solve for x
    x = 160,732,486,424.57/255,555.56
  6. Step 6: Final answer
    x = 628,953.19

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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.