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Finding the Third Proportional to 84,477 and 179,319

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Solution

The third proportional to 84,477 and 179,319 is: 380,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,477 : 179,319 = 179,319 : x
  2. Step 2: Convert to fraction form
    84,477/179,319 = 179,319/x
  3. Step 3: Cross multiply
    84,477x = 179,319 × 179,319
  4. Step 4: Simplify right side
    84,477x = 32,155,303,761
  5. Step 5: Solve for x
    x = 32,155,303,761/84,477
  6. Step 6: Final answer
    x = 380,639.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.