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Finding the Third Proportional to 130,006 and 199,738

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Solution

The third proportional to 130,006 and 199,738 is: 306,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,006 : 199,738 = 199,738 : x
  2. Step 2: Convert to fraction form
    130,006/199,738 = 199,738/x
  3. Step 3: Cross multiply
    130,006x = 199,738 × 199,738
  4. Step 4: Simplify right side
    130,006x = 39,895,268,644
  5. Step 5: Solve for x
    x = 39,895,268,644/130,006
  6. Step 6: Final answer
    x = 306,872.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.