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Finding the Third Proportional to 197,424 and 317,938

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Solution

The third proportional to 197,424 and 317,938 is: 512,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,424 : 317,938 = 317,938 : x
  2. Step 2: Convert to fraction form
    197,424/317,938 = 317,938/x
  3. Step 3: Cross multiply
    197,424x = 317,938 × 317,938
  4. Step 4: Simplify right side
    197,424x = 101,084,571,844
  5. Step 5: Solve for x
    x = 101,084,571,844/197,424
  6. Step 6: Final answer
    x = 512,017.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.