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Finding the Third Proportional to 83,413 and 122,907

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Solution

The third proportional to 83,413 and 122,907 is: 181,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,413 : 122,907 = 122,907 : x
  2. Step 2: Convert to fraction form
    83,413/122,907 = 122,907/x
  3. Step 3: Cross multiply
    83,413x = 122,907 × 122,907
  4. Step 4: Simplify right side
    83,413x = 15,106,130,649
  5. Step 5: Solve for x
    x = 15,106,130,649/83,413
  6. Step 6: Final answer
    x = 181,100.44

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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.