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Finding the Third Proportional to 255,576 and 555,768

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Solution

The third proportional to 255,576 and 555,768 is: 1,208,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,576 : 555,768 = 555,768 : x
  2. Step 2: Convert to fraction form
    255,576/555,768 = 555,768/x
  3. Step 3: Cross multiply
    255,576x = 555,768 × 555,768
  4. Step 4: Simplify right side
    255,576x = 308,878,069,824
  5. Step 5: Solve for x
    x = 308,878,069,824/255,576
  6. Step 6: Final answer
    x = 1,208,556.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.