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Finding the Third Proportional to 180,807 and 393,758

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Solution

The third proportional to 180,807 and 393,758 is: 857,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,807 : 393,758 = 393,758 : x
  2. Step 2: Convert to fraction form
    180,807/393,758 = 393,758/x
  3. Step 3: Cross multiply
    180,807x = 393,758 × 393,758
  4. Step 4: Simplify right side
    180,807x = 155,045,362,564
  5. Step 5: Solve for x
    x = 155,045,362,564/180,807
  6. Step 6: Final answer
    x = 857,518.58

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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.