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Finding the Third Proportional to 159,739.17 and 340,790.20

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Solution

The third proportional to 159,739.17 and 340,790.20 is: 727,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,739.17 : 340,790.20 = 340,790.20 : x
  2. Step 2: Convert to fraction form
    159,739.17/340,790.20 = 340,790.20/x
  3. Step 3: Cross multiply
    159,739.17x = 340,790.20 × 340,790.20
  4. Step 4: Simplify right side
    159,739.17x = 116,137,962,545.98
  5. Step 5: Solve for x
    x = 116,137,962,545.98/159,739.17
  6. Step 6: Final answer
    x = 727,047.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.