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Finding the Third Proportional to 131,382 and 272,104

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Solution

The third proportional to 131,382 and 272,104 is: 563,551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,382 : 272,104 = 272,104 : x
  2. Step 2: Convert to fraction form
    131,382/272,104 = 272,104/x
  3. Step 3: Cross multiply
    131,382x = 272,104 × 272,104
  4. Step 4: Simplify right side
    131,382x = 74,040,586,816
  5. Step 5: Solve for x
    x = 74,040,586,816/131,382
  6. Step 6: Final answer
    x = 563,551.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.