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Finding the Third Proportional to 180,632 and 393,438

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Solution

The third proportional to 180,632 and 393,438 is: 856,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,632 : 393,438 = 393,438 : x
  2. Step 2: Convert to fraction form
    180,632/393,438 = 393,438/x
  3. Step 3: Cross multiply
    180,632x = 393,438 × 393,438
  4. Step 4: Simplify right side
    180,632x = 154,793,459,844
  5. Step 5: Solve for x
    x = 154,793,459,844/180,632
  6. Step 6: Final answer
    x = 856,954.80

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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.