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Finding the Third Proportional to 197,237 and 320,453

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Solution

The third proportional to 197,237 and 320,453 is: 520,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,237 : 320,453 = 320,453 : x
  2. Step 2: Convert to fraction form
    197,237/320,453 = 320,453/x
  3. Step 3: Cross multiply
    197,237x = 320,453 × 320,453
  4. Step 4: Simplify right side
    197,237x = 102,690,125,209
  5. Step 5: Solve for x
    x = 102,690,125,209/197,237
  6. Step 6: Final answer
    x = 520,643.31

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.