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Finding the Third Proportional to 76,932 and 161,639

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Solution

The third proportional to 76,932 and 161,639 is: 339,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,932 : 161,639 = 161,639 : x
  2. Step 2: Convert to fraction form
    76,932/161,639 = 161,639/x
  3. Step 3: Cross multiply
    76,932x = 161,639 × 161,639
  4. Step 4: Simplify right side
    76,932x = 26,127,166,321
  5. Step 5: Solve for x
    x = 26,127,166,321/76,932
  6. Step 6: Final answer
    x = 339,613.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.