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Finding the Third Proportional to 180,855 and 392,844

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Solution

The third proportional to 180,855 and 392,844 is: 853,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,855 : 392,844 = 392,844 : x
  2. Step 2: Convert to fraction form
    180,855/392,844 = 392,844/x
  3. Step 3: Cross multiply
    180,855x = 392,844 × 392,844
  4. Step 4: Simplify right side
    180,855x = 154,326,408,336
  5. Step 5: Solve for x
    x = 154,326,408,336/180,855
  6. Step 6: Final answer
    x = 853,315.69

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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.