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Finding the Third Proportional to 78,545 and 161,698

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Solution

The third proportional to 78,545 and 161,698 is: 332,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,545 : 161,698 = 161,698 : x
  2. Step 2: Convert to fraction form
    78,545/161,698 = 161,698/x
  3. Step 3: Cross multiply
    78,545x = 161,698 × 161,698
  4. Step 4: Simplify right side
    78,545x = 26,146,243,204
  5. Step 5: Solve for x
    x = 26,146,243,204/78,545
  6. Step 6: Final answer
    x = 332,882.34

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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.