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Finding the Third Proportional to 131,740 and 284,072

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Solution

The third proportional to 131,740 and 284,072 is: 612,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,740 : 284,072 = 284,072 : x
  2. Step 2: Convert to fraction form
    131,740/284,072 = 284,072/x
  3. Step 3: Cross multiply
    131,740x = 284,072 × 284,072
  4. Step 4: Simplify right side
    131,740x = 80,696,901,184
  5. Step 5: Solve for x
    x = 80,696,901,184/131,740
  6. Step 6: Final answer
    x = 612,546.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.