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Finding the Third Proportional to 149,563 and 320,146

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Solution

The third proportional to 149,563 and 320,146 is: 685,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,563 : 320,146 = 320,146 : x
  2. Step 2: Convert to fraction form
    149,563/320,146 = 320,146/x
  3. Step 3: Cross multiply
    149,563x = 320,146 × 320,146
  4. Step 4: Simplify right side
    149,563x = 102,493,461,316
  5. Step 5: Solve for x
    x = 102,493,461,316/149,563
  6. Step 6: Final answer
    x = 685,286.21

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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.