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Finding the Third Proportional to 126,384 and 197,178

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Solution

The third proportional to 126,384 and 197,178 is: 307,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,384 : 197,178 = 197,178 : x
  2. Step 2: Convert to fraction form
    126,384/197,178 = 197,178/x
  3. Step 3: Cross multiply
    126,384x = 197,178 × 197,178
  4. Step 4: Simplify right side
    126,384x = 38,879,163,684
  5. Step 5: Solve for x
    x = 38,879,163,684/126,384
  6. Step 6: Final answer
    x = 307,627.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.