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Finding the Third Proportional to 69,530 and 133,522

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Solution

The third proportional to 69,530 and 133,522 is: 256,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,530 : 133,522 = 133,522 : x
  2. Step 2: Convert to fraction form
    69,530/133,522 = 133,522/x
  3. Step 3: Cross multiply
    69,530x = 133,522 × 133,522
  4. Step 4: Simplify right side
    69,530x = 17,828,124,484
  5. Step 5: Solve for x
    x = 17,828,124,484/69,530
  6. Step 6: Final answer
    x = 256,409.10

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.