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Finding the Third Proportional to 30,459 and 71,169

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Solution

The third proportional to 30,459 and 71,169 is: 166,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459 : 71,169 = 71,169 : x
  2. Step 2: Convert to fraction form
    30,459/71,169 = 71,169/x
  3. Step 3: Cross multiply
    30,459x = 71,169 × 71,169
  4. Step 4: Simplify right side
    30,459x = 5,065,026,561
  5. Step 5: Solve for x
    x = 5,065,026,561/30,459
  6. Step 6: Final answer
    x = 166,289.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.