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Finding the Third Proportional to 285,843 and 445,086

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Solution

The third proportional to 285,843 and 445,086 is: 693,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,843 : 445,086 = 445,086 : x
  2. Step 2: Convert to fraction form
    285,843/445,086 = 445,086/x
  3. Step 3: Cross multiply
    285,843x = 445,086 × 445,086
  4. Step 4: Simplify right side
    285,843x = 198,101,547,396
  5. Step 5: Solve for x
    x = 198,101,547,396/285,843
  6. Step 6: Final answer
    x = 693,043.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.