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Finding the Third Proportional to 83,415 and 122,910

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Solution

The third proportional to 83,415 and 122,910 is: 181,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415 : 122,910 = 122,910 : x
  2. Step 2: Convert to fraction form
    83,415/122,910 = 122,910/x
  3. Step 3: Cross multiply
    83,415x = 122,910 × 122,910
  4. Step 4: Simplify right side
    83,415x = 15,106,868,100
  5. Step 5: Solve for x
    x = 15,106,868,100/83,415
  6. Step 6: Final answer
    x = 181,104.93

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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.