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Finding the Third Proportional to 259,206.38 and 370,665.56

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Solution

The third proportional to 259,206.38 and 370,665.56 is: 530,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,206.38 : 370,665.56 = 370,665.56 : x
  2. Step 2: Convert to fraction form
    259,206.38/370,665.56 = 370,665.56/x
  3. Step 3: Cross multiply
    259,206.38x = 370,665.56 × 370,665.56
  4. Step 4: Simplify right side
    259,206.38x = 137,392,959,223.44
  5. Step 5: Solve for x
    x = 137,392,959,223.44/259,206.38
  6. Step 6: Final answer
    x = 530,052.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.