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Finding the Third Proportional to 30,699 and 67,169

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Solution

The third proportional to 30,699 and 67,169 is: 146,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,699 : 67,169 = 67,169 : x
  2. Step 2: Convert to fraction form
    30,699/67,169 = 67,169/x
  3. Step 3: Cross multiply
    30,699x = 67,169 × 67,169
  4. Step 4: Simplify right side
    30,699x = 4,511,674,561
  5. Step 5: Solve for x
    x = 4,511,674,561/30,699
  6. Step 6: Final answer
    x = 146,964.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.