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Finding the Third Proportional to 149,773 and 320,606

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Solution

The third proportional to 149,773 and 320,606 is: 686,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,773 : 320,606 = 320,606 : x
  2. Step 2: Convert to fraction form
    149,773/320,606 = 320,606/x
  3. Step 3: Cross multiply
    149,773x = 320,606 × 320,606
  4. Step 4: Simplify right side
    149,773x = 102,788,207,236
  5. Step 5: Solve for x
    x = 102,788,207,236/149,773
  6. Step 6: Final answer
    x = 686,293.31

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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.