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Finding the Third Proportional to 83,419 and 122,916

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Solution

The third proportional to 83,419 and 122,916 is: 181,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,419 : 122,916 = 122,916 : x
  2. Step 2: Convert to fraction form
    83,419/122,916 = 122,916/x
  3. Step 3: Cross multiply
    83,419x = 122,916 × 122,916
  4. Step 4: Simplify right side
    83,419x = 15,108,343,056
  5. Step 5: Solve for x
    x = 15,108,343,056/83,419
  6. Step 6: Final answer
    x = 181,113.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.