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Finding the Third Proportional to 63,088 and 138,977

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Solution

The third proportional to 63,088 and 138,977 is: 306,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,088 : 138,977 = 138,977 : x
  2. Step 2: Convert to fraction form
    63,088/138,977 = 138,977/x
  3. Step 3: Cross multiply
    63,088x = 138,977 × 138,977
  4. Step 4: Simplify right side
    63,088x = 19,314,606,529
  5. Step 5: Solve for x
    x = 19,314,606,529/63,088
  6. Step 6: Final answer
    x = 306,153.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.