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Finding the Third Proportional to 69,291 and 161,658

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Solution

The third proportional to 69,291 and 161,658 is: 377,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,291 : 161,658 = 161,658 : x
  2. Step 2: Convert to fraction form
    69,291/161,658 = 161,658/x
  3. Step 3: Cross multiply
    69,291x = 161,658 × 161,658
  4. Step 4: Simplify right side
    69,291x = 26,133,308,964
  5. Step 5: Solve for x
    x = 26,133,308,964/69,291
  6. Step 6: Final answer
    x = 377,153.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.