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Finding the Third Proportional to 189,288 and 266,472

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Solution

The third proportional to 189,288 and 266,472 is: 375,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,288 : 266,472 = 266,472 : x
  2. Step 2: Convert to fraction form
    189,288/266,472 = 266,472/x
  3. Step 3: Cross multiply
    189,288x = 266,472 × 266,472
  4. Step 4: Simplify right side
    189,288x = 71,007,326,784
  5. Step 5: Solve for x
    x = 71,007,326,784/189,288
  6. Step 6: Final answer
    x = 375,128.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.