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Finding the Third Proportional to 81,854 and 176,303

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Solution

The third proportional to 81,854 and 176,303 is: 379,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,854 : 176,303 = 176,303 : x
  2. Step 2: Convert to fraction form
    81,854/176,303 = 176,303/x
  3. Step 3: Cross multiply
    81,854x = 176,303 × 176,303
  4. Step 4: Simplify right side
    81,854x = 31,082,747,809
  5. Step 5: Solve for x
    x = 31,082,747,809/81,854
  6. Step 6: Final answer
    x = 379,734.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.