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Finding the Third Proportional to 171,623 and 265,739

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Solution

The third proportional to 171,623 and 265,739 is: 411,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,623 : 265,739 = 265,739 : x
  2. Step 2: Convert to fraction form
    171,623/265,739 = 265,739/x
  3. Step 3: Cross multiply
    171,623x = 265,739 × 265,739
  4. Step 4: Simplify right side
    171,623x = 70,617,216,121
  5. Step 5: Solve for x
    x = 70,617,216,121/171,623
  6. Step 6: Final answer
    x = 411,467.09

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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.