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Finding the Third Proportional to 126,819 and 137,889

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Solution

The third proportional to 126,819 and 137,889 is: 149,925.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,819 : 137,889 = 137,889 : x
  2. Step 2: Convert to fraction form
    126,819/137,889 = 137,889/x
  3. Step 3: Cross multiply
    126,819x = 137,889 × 137,889
  4. Step 4: Simplify right side
    126,819x = 19,013,376,321
  5. Step 5: Solve for x
    x = 19,013,376,321/126,819
  6. Step 6: Final answer
    x = 149,925.30

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.