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Finding the Third Proportional to 149,775 and 317,937

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Solution

The third proportional to 149,775 and 317,937 is: 674,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,775 : 317,937 = 317,937 : x
  2. Step 2: Convert to fraction form
    149,775/317,937 = 317,937/x
  3. Step 3: Cross multiply
    149,775x = 317,937 × 317,937
  4. Step 4: Simplify right side
    149,775x = 101,083,935,969
  5. Step 5: Solve for x
    x = 101,083,935,969/149,775
  6. Step 6: Final answer
    x = 674,905.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.