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Finding the Third Proportional to 255,420 and 555,048

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Solution

The third proportional to 255,420 and 555,048 is: 1,206,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,420 : 555,048 = 555,048 : x
  2. Step 2: Convert to fraction form
    255,420/555,048 = 555,048/x
  3. Step 3: Cross multiply
    255,420x = 555,048 × 555,048
  4. Step 4: Simplify right side
    255,420x = 308,078,282,304
  5. Step 5: Solve for x
    x = 308,078,282,304/255,420
  6. Step 6: Final answer
    x = 1,206,163.50

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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.