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Finding the Third Proportional to 137,606 and 279,085

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Solution

The third proportional to 137,606 and 279,085 is: 566,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,606 : 279,085 = 279,085 : x
  2. Step 2: Convert to fraction form
    137,606/279,085 = 279,085/x
  3. Step 3: Cross multiply
    137,606x = 279,085 × 279,085
  4. Step 4: Simplify right side
    137,606x = 77,888,437,225
  5. Step 5: Solve for x
    x = 77,888,437,225/137,606
  6. Step 6: Final answer
    x = 566,025.01

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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.