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Finding the Third Proportional to 180,862 and 392,860

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Solution

The third proportional to 180,862 and 392,860 is: 853,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,862 : 392,860 = 392,860 : x
  2. Step 2: Convert to fraction form
    180,862/392,860 = 392,860/x
  3. Step 3: Cross multiply
    180,862x = 392,860 × 392,860
  4. Step 4: Simplify right side
    180,862x = 154,338,979,600
  5. Step 5: Solve for x
    x = 154,338,979,600/180,862
  6. Step 6: Final answer
    x = 853,352.17

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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.