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Finding the Third Proportional to 259,821 and 570,216

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Solution

The third proportional to 259,821 and 570,216 is: 1,251,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,821 : 570,216 = 570,216 : x
  2. Step 2: Convert to fraction form
    259,821/570,216 = 570,216/x
  3. Step 3: Cross multiply
    259,821x = 570,216 × 570,216
  4. Step 4: Simplify right side
    259,821x = 325,146,286,656
  5. Step 5: Solve for x
    x = 325,146,286,656/259,821
  6. Step 6: Final answer
    x = 1,251,424.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.