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Finding the Third Proportional to 309,046 and 641,777

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Solution

The third proportional to 309,046 and 641,777 is: 1,332,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,046 : 641,777 = 641,777 : x
  2. Step 2: Convert to fraction form
    309,046/641,777 = 641,777/x
  3. Step 3: Cross multiply
    309,046x = 641,777 × 641,777
  4. Step 4: Simplify right side
    309,046x = 411,877,717,729
  5. Step 5: Solve for x
    x = 411,877,717,729/309,046
  6. Step 6: Final answer
    x = 1,332,739.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.