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Finding the Third Proportional to 170,808 and 272,868

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Solution

The third proportional to 170,808 and 272,868 is: 435,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,808 : 272,868 = 272,868 : x
  2. Step 2: Convert to fraction form
    170,808/272,868 = 272,868/x
  3. Step 3: Cross multiply
    170,808x = 272,868 × 272,868
  4. Step 4: Simplify right side
    170,808x = 74,456,945,424
  5. Step 5: Solve for x
    x = 74,456,945,424/170,808
  6. Step 6: Final answer
    x = 435,910.18

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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.