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Finding the Third Proportional to 136,085 and 211,581

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Solution

The third proportional to 136,085 and 211,581 is: 328,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,085 : 211,581 = 211,581 : x
  2. Step 2: Convert to fraction form
    136,085/211,581 = 211,581/x
  3. Step 3: Cross multiply
    136,085x = 211,581 × 211,581
  4. Step 4: Simplify right side
    136,085x = 44,766,519,561
  5. Step 5: Solve for x
    x = 44,766,519,561/136,085
  6. Step 6: Final answer
    x = 328,959.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.