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Finding the Third Proportional to 81,032 and 128,208

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Solution

The third proportional to 81,032 and 128,208 is: 202,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,032 : 128,208 = 128,208 : x
  2. Step 2: Convert to fraction form
    81,032/128,208 = 128,208/x
  3. Step 3: Cross multiply
    81,032x = 128,208 × 128,208
  4. Step 4: Simplify right side
    81,032x = 16,437,291,264
  5. Step 5: Solve for x
    x = 16,437,291,264/81,032
  6. Step 6: Final answer
    x = 202,849.38

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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.