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Finding the Third Proportional to 137,856 and 212,778

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Solution

The third proportional to 137,856 and 212,778 is: 328,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,856 : 212,778 = 212,778 : x
  2. Step 2: Convert to fraction form
    137,856/212,778 = 212,778/x
  3. Step 3: Cross multiply
    137,856x = 212,778 × 212,778
  4. Step 4: Simplify right side
    137,856x = 45,274,477,284
  5. Step 5: Solve for x
    x = 45,274,477,284/137,856
  6. Step 6: Final answer
    x = 328,418.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.