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Finding the Third Proportional to 77,175 and 102,906

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Solution

The third proportional to 77,175 and 102,906 is: 137,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,175 : 102,906 = 102,906 : x
  2. Step 2: Convert to fraction form
    77,175/102,906 = 102,906/x
  3. Step 3: Cross multiply
    77,175x = 102,906 × 102,906
  4. Step 4: Simplify right side
    77,175x = 10,589,644,836
  5. Step 5: Solve for x
    x = 10,589,644,836/77,175
  6. Step 6: Final answer
    x = 137,216.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.