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Finding the Third Proportional to 131,602.50 and 211,939

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Solution

The third proportional to 131,602.50 and 211,939 is: 341,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,602.50 : 211,939 = 211,939 : x
  2. Step 2: Convert to fraction form
    131,602.50/211,939 = 211,939/x
  3. Step 3: Cross multiply
    131,602.50x = 211,939 × 211,939
  4. Step 4: Simplify right side
    131,602.50x = 44,918,139,721
  5. Step 5: Solve for x
    x = 44,918,139,721/131,602.50
  6. Step 6: Final answer
    x = 341,316.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.