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Finding the Third Proportional to 128,744 and 188,507

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Solution

The third proportional to 128,744 and 188,507 is: 276,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,744 : 188,507 = 188,507 : x
  2. Step 2: Convert to fraction form
    128,744/188,507 = 188,507/x
  3. Step 3: Cross multiply
    128,744x = 188,507 × 188,507
  4. Step 4: Simplify right side
    128,744x = 35,534,889,049
  5. Step 5: Solve for x
    x = 35,534,889,049/128,744
  6. Step 6: Final answer
    x = 276,012.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.