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Finding the Third Proportional to 128,454 and 197,595

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Solution

The third proportional to 128,454 and 197,595 is: 303,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,454 : 197,595 = 197,595 : x
  2. Step 2: Convert to fraction form
    128,454/197,595 = 197,595/x
  3. Step 3: Cross multiply
    128,454x = 197,595 × 197,595
  4. Step 4: Simplify right side
    128,454x = 39,043,784,025
  5. Step 5: Solve for x
    x = 39,043,784,025/128,454
  6. Step 6: Final answer
    x = 303,951.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.