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Finding the Third Proportional to 81,783 and 176,455

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Solution

The third proportional to 81,783 and 176,455 is: 380,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,783 : 176,455 = 176,455 : x
  2. Step 2: Convert to fraction form
    81,783/176,455 = 176,455/x
  3. Step 3: Cross multiply
    81,783x = 176,455 × 176,455
  4. Step 4: Simplify right side
    81,783x = 31,136,367,025
  5. Step 5: Solve for x
    x = 31,136,367,025/81,783
  6. Step 6: Final answer
    x = 380,719.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.