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Finding the Third Proportional to 128,445.75 and 197,670.38

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Solution

The third proportional to 128,445.75 and 197,670.38 is: 304,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,445.75 : 197,670.38 = 197,670.38 : x
  2. Step 2: Convert to fraction form
    128,445.75/197,670.38 = 197,670.38/x
  3. Step 3: Cross multiply
    128,445.75x = 197,670.38 × 197,670.38
  4. Step 4: Simplify right side
    128,445.75x = 39,073,577,152.64
  5. Step 5: Solve for x
    x = 39,073,577,152.64/128,445.75
  6. Step 6: Final answer
    x = 304,202.96

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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.