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Finding the Third Proportional to 170,426 and 266,763

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Solution

The third proportional to 170,426 and 266,763 is: 417,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,426 : 266,763 = 266,763 : x
  2. Step 2: Convert to fraction form
    170,426/266,763 = 266,763/x
  3. Step 3: Cross multiply
    170,426x = 266,763 × 266,763
  4. Step 4: Simplify right side
    170,426x = 71,162,498,169
  5. Step 5: Solve for x
    x = 71,162,498,169/170,426
  6. Step 6: Final answer
    x = 417,556.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.