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Finding the Third Proportional to 124,328 and 197,170

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Solution

The third proportional to 124,328 and 197,170 is: 312,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,328 : 197,170 = 197,170 : x
  2. Step 2: Convert to fraction form
    124,328/197,170 = 197,170/x
  3. Step 3: Cross multiply
    124,328x = 197,170 × 197,170
  4. Step 4: Simplify right side
    124,328x = 38,876,008,900
  5. Step 5: Solve for x
    x = 38,876,008,900/124,328
  6. Step 6: Final answer
    x = 312,689.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.