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Finding the Third Proportional to 166,709 and 345,082

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Solution

The third proportional to 166,709 and 345,082 is: 714,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,709 : 345,082 = 345,082 : x
  2. Step 2: Convert to fraction form
    166,709/345,082 = 345,082/x
  3. Step 3: Cross multiply
    166,709x = 345,082 × 345,082
  4. Step 4: Simplify right side
    166,709x = 119,081,586,724
  5. Step 5: Solve for x
    x = 119,081,586,724/166,709
  6. Step 6: Final answer
    x = 714,308.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.