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Finding the Third Proportional to 180,772 and 393,716

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Solution

The third proportional to 180,772 and 393,716 is: 857,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,772 : 393,716 = 393,716 : x
  2. Step 2: Convert to fraction form
    180,772/393,716 = 393,716/x
  3. Step 3: Cross multiply
    180,772x = 393,716 × 393,716
  4. Step 4: Simplify right side
    180,772x = 155,012,288,656
  5. Step 5: Solve for x
    x = 155,012,288,656/180,772
  6. Step 6: Final answer
    x = 857,501.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.