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Finding the Third Proportional to 180,883 and 392,894

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Solution

The third proportional to 180,883 and 392,894 is: 853,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,883 : 392,894 = 392,894 : x
  2. Step 2: Convert to fraction form
    180,883/392,894 = 392,894/x
  3. Step 3: Cross multiply
    180,883x = 392,894 × 392,894
  4. Step 4: Simplify right side
    180,883x = 154,365,695,236
  5. Step 5: Solve for x
    x = 154,365,695,236/180,883
  6. Step 6: Final answer
    x = 853,400.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.