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Finding the Third Proportional to 259,816 and 561,080

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Solution

The third proportional to 259,816 and 561,080 is: 1,211,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,816 : 561,080 = 561,080 : x
  2. Step 2: Convert to fraction form
    259,816/561,080 = 561,080/x
  3. Step 3: Cross multiply
    259,816x = 561,080 × 561,080
  4. Step 4: Simplify right side
    259,816x = 314,810,766,400
  5. Step 5: Solve for x
    x = 314,810,766,400/259,816
  6. Step 6: Final answer
    x = 1,211,668.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.