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Finding the Third Proportional to 137,186 and 278,188

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Solution

The third proportional to 137,186 and 278,188 is: 564,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,186 : 278,188 = 278,188 : x
  2. Step 2: Convert to fraction form
    137,186/278,188 = 278,188/x
  3. Step 3: Cross multiply
    137,186x = 278,188 × 278,188
  4. Step 4: Simplify right side
    137,186x = 77,388,563,344
  5. Step 5: Solve for x
    x = 77,388,563,344/137,186
  6. Step 6: Final answer
    x = 564,114.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.