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Finding the Third Proportional to 338,200.31 and 539,282.81

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Solution

The third proportional to 338,200.31 and 539,282.81 is: 859,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,200.31 : 539,282.81 = 539,282.81 : x
  2. Step 2: Convert to fraction form
    338,200.31/539,282.81 = 539,282.81/x
  3. Step 3: Cross multiply
    338,200.31x = 539,282.81 × 539,282.81
  4. Step 4: Simplify right side
    338,200.31x = 290,825,951,857.91
  5. Step 5: Solve for x
    x = 290,825,951,857.91/338,200.31
  6. Step 6: Final answer
    x = 859,922.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.