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Finding the Third Proportional to 106,040 and 155,878

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Solution

The third proportional to 106,040 and 155,878 is: 229,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,040 : 155,878 = 155,878 : x
  2. Step 2: Convert to fraction form
    106,040/155,878 = 155,878/x
  3. Step 3: Cross multiply
    106,040x = 155,878 × 155,878
  4. Step 4: Simplify right side
    106,040x = 24,297,950,884
  5. Step 5: Solve for x
    x = 24,297,950,884/106,040
  6. Step 6: Final answer
    x = 229,139.48

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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.