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Finding the Third Proportional to 334,719 and 479,115

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Solution

The third proportional to 334,719 and 479,115 is: 685,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,719 : 479,115 = 479,115 : x
  2. Step 2: Convert to fraction form
    334,719/479,115 = 479,115/x
  3. Step 3: Cross multiply
    334,719x = 479,115 × 479,115
  4. Step 4: Simplify right side
    334,719x = 229,551,183,225
  5. Step 5: Solve for x
    x = 229,551,183,225/334,719
  6. Step 6: Final answer
    x = 685,802.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.