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Finding the Third Proportional to 308,021 and 460,777

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Solution

The third proportional to 308,021 and 460,777 is: 689,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,021 : 460,777 = 460,777 : x
  2. Step 2: Convert to fraction form
    308,021/460,777 = 460,777/x
  3. Step 3: Cross multiply
    308,021x = 460,777 × 460,777
  4. Step 4: Simplify right side
    308,021x = 212,315,443,729
  5. Step 5: Solve for x
    x = 212,315,443,729/308,021
  6. Step 6: Final answer
    x = 689,288.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.