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Finding the Third Proportional to 84,720.75 and 183,390

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Solution

The third proportional to 84,720.75 and 183,390 is: 396,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,720.75 : 183,390 = 183,390 : x
  2. Step 2: Convert to fraction form
    84,720.75/183,390 = 183,390/x
  3. Step 3: Cross multiply
    84,720.75x = 183,390 × 183,390
  4. Step 4: Simplify right side
    84,720.75x = 33,631,892,100
  5. Step 5: Solve for x
    x = 33,631,892,100/84,720.75
  6. Step 6: Final answer
    x = 396,973.49

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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.