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Finding the Third Proportional to 309,558 and 462,912

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Solution

The third proportional to 309,558 and 462,912 is: 692,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,558 : 462,912 = 462,912 : x
  2. Step 2: Convert to fraction form
    309,558/462,912 = 462,912/x
  3. Step 3: Cross multiply
    309,558x = 462,912 × 462,912
  4. Step 4: Simplify right side
    309,558x = 214,287,519,744
  5. Step 5: Solve for x
    x = 214,287,519,744/309,558
  6. Step 6: Final answer
    x = 692,237.06

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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.