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Finding the Third Proportional to 39,456 and 84,024

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Solution

The third proportional to 39,456 and 84,024 is: 178,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,456 : 84,024 = 84,024 : x
  2. Step 2: Convert to fraction form
    39,456/84,024 = 84,024/x
  3. Step 3: Cross multiply
    39,456x = 84,024 × 84,024
  4. Step 4: Simplify right side
    39,456x = 7,060,032,576
  5. Step 5: Solve for x
    x = 7,060,032,576/39,456
  6. Step 6: Final answer
    x = 178,934.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.