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Finding the Third Proportional to 149,769 and 320,598

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Solution

The third proportional to 149,769 and 320,598 is: 686,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,769 : 320,598 = 320,598 : x
  2. Step 2: Convert to fraction form
    149,769/320,598 = 320,598/x
  3. Step 3: Cross multiply
    149,769x = 320,598 × 320,598
  4. Step 4: Simplify right side
    149,769x = 102,783,077,604
  5. Step 5: Solve for x
    x = 102,783,077,604/149,769
  6. Step 6: Final answer
    x = 686,277.38

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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.