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Finding the Third Proportional to 259,784 and 539,976

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Solution

The third proportional to 259,784 and 539,976 is: 1,122,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,784 : 539,976 = 539,976 : x
  2. Step 2: Convert to fraction form
    259,784/539,976 = 539,976/x
  3. Step 3: Cross multiply
    259,784x = 539,976 × 539,976
  4. Step 4: Simplify right side
    259,784x = 291,574,080,576
  5. Step 5: Solve for x
    x = 291,574,080,576/259,784
  6. Step 6: Final answer
    x = 1,122,371.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.