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Finding the Third Proportional to 180,796 and 393,304

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Solution

The third proportional to 180,796 and 393,304 is: 855,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,796 : 393,304 = 393,304 : x
  2. Step 2: Convert to fraction form
    180,796/393,304 = 393,304/x
  3. Step 3: Cross multiply
    180,796x = 393,304 × 393,304
  4. Step 4: Simplify right side
    180,796x = 154,688,036,416
  5. Step 5: Solve for x
    x = 154,688,036,416/180,796
  6. Step 6: Final answer
    x = 855,594.35

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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.