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Finding the Third Proportional to 174,719 and 261,808

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Solution

The third proportional to 174,719 and 261,808 is: 392,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,719 : 261,808 = 261,808 : x
  2. Step 2: Convert to fraction form
    174,719/261,808 = 261,808/x
  3. Step 3: Cross multiply
    174,719x = 261,808 × 261,808
  4. Step 4: Simplify right side
    174,719x = 68,543,428,864
  5. Step 5: Solve for x
    x = 68,543,428,864/174,719
  6. Step 6: Final answer
    x = 392,306.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.