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Finding the Third Proportional to 169,819 and 359,851

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Solution

The third proportional to 169,819 and 359,851 is: 762,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,819 : 359,851 = 359,851 : x
  2. Step 2: Convert to fraction form
    169,819/359,851 = 359,851/x
  3. Step 3: Cross multiply
    169,819x = 359,851 × 359,851
  4. Step 4: Simplify right side
    169,819x = 129,492,742,201
  5. Step 5: Solve for x
    x = 129,492,742,201/169,819
  6. Step 6: Final answer
    x = 762,533.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.