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Finding the Third Proportional to 400,275 and 618,090.75

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Solution

The third proportional to 400,275 and 618,090.75 is: 954,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,275 : 618,090.75 = 618,090.75 : x
  2. Step 2: Convert to fraction form
    400,275/618,090.75 = 618,090.75/x
  3. Step 3: Cross multiply
    400,275x = 618,090.75 × 618,090.75
  4. Step 4: Simplify right side
    400,275x = 382,036,175,235.56
  5. Step 5: Solve for x
    x = 382,036,175,235.56/400,275
  6. Step 6: Final answer
    x = 954,434.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.