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Finding the Third Proportional to 180,819 and 393,784

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Solution

The third proportional to 180,819 and 393,784 is: 857,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,819 : 393,784 = 393,784 : x
  2. Step 2: Convert to fraction form
    180,819/393,784 = 393,784/x
  3. Step 3: Cross multiply
    180,819x = 393,784 × 393,784
  4. Step 4: Simplify right side
    180,819x = 155,065,838,656
  5. Step 5: Solve for x
    x = 155,065,838,656/180,819
  6. Step 6: Final answer
    x = 857,574.92

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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.