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Finding the Third Proportional to 197,352 and 300,940

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Solution

The third proportional to 197,352 and 300,940 is: 458,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,352 : 300,940 = 300,940 : x
  2. Step 2: Convert to fraction form
    197,352/300,940 = 300,940/x
  3. Step 3: Cross multiply
    197,352x = 300,940 × 300,940
  4. Step 4: Simplify right side
    197,352x = 90,564,883,600
  5. Step 5: Solve for x
    x = 90,564,883,600/197,352
  6. Step 6: Final answer
    x = 458,900.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.