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Finding the Third Proportional to 84,415.50 and 133,670.25

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Solution

The third proportional to 84,415.50 and 133,670.25 is: 211,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,415.50 : 133,670.25 = 133,670.25 : x
  2. Step 2: Convert to fraction form
    84,415.50/133,670.25 = 133,670.25/x
  3. Step 3: Cross multiply
    84,415.50x = 133,670.25 × 133,670.25
  4. Step 4: Simplify right side
    84,415.50x = 17,867,735,735.06
  5. Step 5: Solve for x
    x = 17,867,735,735.06/84,415.50
  6. Step 6: Final answer
    x = 211,664.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.