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Finding the Third Proportional to 51,820 and 80,021

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Solution

The third proportional to 51,820 and 80,021 is: 123,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,820 : 80,021 = 80,021 : x
  2. Step 2: Convert to fraction form
    51,820/80,021 = 80,021/x
  3. Step 3: Cross multiply
    51,820x = 80,021 × 80,021
  4. Step 4: Simplify right side
    51,820x = 6,403,360,441
  5. Step 5: Solve for x
    x = 6,403,360,441/51,820
  6. Step 6: Final answer
    x = 123,569.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.