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Finding the Third Proportional to 66,682 and 157,409

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Solution

The third proportional to 66,682 and 157,409 is: 371,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,682 : 157,409 = 157,409 : x
  2. Step 2: Convert to fraction form
    66,682/157,409 = 157,409/x
  3. Step 3: Cross multiply
    66,682x = 157,409 × 157,409
  4. Step 4: Simplify right side
    66,682x = 24,777,593,281
  5. Step 5: Solve for x
    x = 24,777,593,281/66,682
  6. Step 6: Final answer
    x = 371,578.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.