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Finding the Third Proportional to 285,285 and 611,052

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Solution

The third proportional to 285,285 and 611,052 is: 1,308,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,285 : 611,052 = 611,052 : x
  2. Step 2: Convert to fraction form
    285,285/611,052 = 611,052/x
  3. Step 3: Cross multiply
    285,285x = 611,052 × 611,052
  4. Step 4: Simplify right side
    285,285x = 373,384,546,704
  5. Step 5: Solve for x
    x = 373,384,546,704/285,285
  6. Step 6: Final answer
    x = 1,308,812.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.