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Finding the Third Proportional to 30,792 and 66,391

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Solution

The third proportional to 30,792 and 66,391 is: 143,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792 : 66,391 = 66,391 : x
  2. Step 2: Convert to fraction form
    30,792/66,391 = 66,391/x
  3. Step 3: Cross multiply
    30,792x = 66,391 × 66,391
  4. Step 4: Simplify right side
    30,792x = 4,407,764,881
  5. Step 5: Solve for x
    x = 4,407,764,881/30,792
  6. Step 6: Final answer
    x = 143,146.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.