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Finding the Third Proportional to 133,724.63 and 207,728.25

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Solution

The third proportional to 133,724.63 and 207,728.25 is: 322,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,724.63 : 207,728.25 = 207,728.25 : x
  2. Step 2: Convert to fraction form
    133,724.63/207,728.25 = 207,728.25/x
  3. Step 3: Cross multiply
    133,724.63x = 207,728.25 × 207,728.25
  4. Step 4: Simplify right side
    133,724.63x = 43,151,025,848.06
  5. Step 5: Solve for x
    x = 43,151,025,848.06/133,724.63
  6. Step 6: Final answer
    x = 322,685.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.