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Finding the Third Proportional to 137,463.75 and 212,844.38

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Solution

The third proportional to 137,463.75 and 212,844.38 is: 329,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,463.75 : 212,844.38 = 212,844.38 : x
  2. Step 2: Convert to fraction form
    137,463.75/212,844.38 = 212,844.38/x
  3. Step 3: Cross multiply
    137,463.75x = 212,844.38 × 212,844.38
  4. Step 4: Simplify right side
    137,463.75x = 45,302,727,969.14
  5. Step 5: Solve for x
    x = 45,302,727,969.14/137,463.75
  6. Step 6: Final answer
    x = 329,561.27

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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.