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Finding the Third Proportional to 255,488 and 386,768

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Solution

The third proportional to 255,488 and 386,768 is: 585,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,488 : 386,768 = 386,768 : x
  2. Step 2: Convert to fraction form
    255,488/386,768 = 386,768/x
  3. Step 3: Cross multiply
    255,488x = 386,768 × 386,768
  4. Step 4: Simplify right side
    255,488x = 149,589,485,824
  5. Step 5: Solve for x
    x = 149,589,485,824/255,488
  6. Step 6: Final answer
    x = 585,504.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.