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Finding the Third Proportional to 257,991 and 562,836

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Solution

The third proportional to 257,991 and 562,836 is: 1,227,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,991 : 562,836 = 562,836 : x
  2. Step 2: Convert to fraction form
    257,991/562,836 = 562,836/x
  3. Step 3: Cross multiply
    257,991x = 562,836 × 562,836
  4. Step 4: Simplify right side
    257,991x = 316,784,362,896
  5. Step 5: Solve for x
    x = 316,784,362,896/257,991
  6. Step 6: Final answer
    x = 1,227,889.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.