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Finding the Third Proportional to 131,406 and 210,778

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Solution

The third proportional to 131,406 and 210,778 is: 338,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,406 : 210,778 = 210,778 : x
  2. Step 2: Convert to fraction form
    131,406/210,778 = 210,778/x
  3. Step 3: Cross multiply
    131,406x = 210,778 × 210,778
  4. Step 4: Simplify right side
    131,406x = 44,427,365,284
  5. Step 5: Solve for x
    x = 44,427,365,284/131,406
  6. Step 6: Final answer
    x = 338,092.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.