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Finding the Third Proportional to 66,729 and 157,512

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Solution

The third proportional to 66,729 and 157,512 is: 371,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,729 : 157,512 = 157,512 : x
  2. Step 2: Convert to fraction form
    66,729/157,512 = 157,512/x
  3. Step 3: Cross multiply
    66,729x = 157,512 × 157,512
  4. Step 4: Simplify right side
    66,729x = 24,810,030,144
  5. Step 5: Solve for x
    x = 24,810,030,144/66,729
  6. Step 6: Final answer
    x = 371,802.82

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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.