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Finding the Third Proportional to 133,844.63 and 197,066.25

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Solution

The third proportional to 133,844.63 and 197,066.25 is: 290,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,844.63 : 197,066.25 = 197,066.25 : x
  2. Step 2: Convert to fraction form
    133,844.63/197,066.25 = 197,066.25/x
  3. Step 3: Cross multiply
    133,844.63x = 197,066.25 × 197,066.25
  4. Step 4: Simplify right side
    133,844.63x = 38,835,106,889.06
  5. Step 5: Solve for x
    x = 38,835,106,889.06/133,844.63
  6. Step 6: Final answer
    x = 290,150.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.