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Finding the Third Proportional to 77,342 and 163,836

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Solution

The third proportional to 77,342 and 163,836 is: 347,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,342 : 163,836 = 163,836 : x
  2. Step 2: Convert to fraction form
    77,342/163,836 = 163,836/x
  3. Step 3: Cross multiply
    77,342x = 163,836 × 163,836
  4. Step 4: Simplify right side
    77,342x = 26,842,234,896
  5. Step 5: Solve for x
    x = 26,842,234,896/77,342
  6. Step 6: Final answer
    x = 347,058.97

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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.