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Finding the Third Proportional to 20,546 and 44,792

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Solution

The third proportional to 20,546 and 44,792 is: 97,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546 : 44,792 = 44,792 : x
  2. Step 2: Convert to fraction form
    20,546/44,792 = 44,792/x
  3. Step 3: Cross multiply
    20,546x = 44,792 × 44,792
  4. Step 4: Simplify right side
    20,546x = 2,006,323,264
  5. Step 5: Solve for x
    x = 2,006,323,264/20,546
  6. Step 6: Final answer
    x = 97,650.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.