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Finding the Third Proportional to 81,031 and 128,205.75

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Solution

The third proportional to 81,031 and 128,205.75 is: 202,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,031 : 128,205.75 = 128,205.75 : x
  2. Step 2: Convert to fraction form
    81,031/128,205.75 = 128,205.75/x
  3. Step 3: Cross multiply
    81,031x = 128,205.75 × 128,205.75
  4. Step 4: Simplify right side
    81,031x = 16,436,714,333.06
  5. Step 5: Solve for x
    x = 16,436,714,333.06/81,031
  6. Step 6: Final answer
    x = 202,844.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.