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Finding the Third Proportional to 78,562 and 161,732

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Solution

The third proportional to 78,562 and 161,732 is: 332,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,562 : 161,732 = 161,732 : x
  2. Step 2: Convert to fraction form
    78,562/161,732 = 161,732/x
  3. Step 3: Cross multiply
    78,562x = 161,732 × 161,732
  4. Step 4: Simplify right side
    78,562x = 26,157,239,824
  5. Step 5: Solve for x
    x = 26,157,239,824/78,562
  6. Step 6: Final answer
    x = 332,950.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.