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Finding the Third Proportional to 405,761.25 and 633,207

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Solution

The third proportional to 405,761.25 and 633,207 is: 988,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,761.25 : 633,207 = 633,207 : x
  2. Step 2: Convert to fraction form
    405,761.25/633,207 = 633,207/x
  3. Step 3: Cross multiply
    405,761.25x = 633,207 × 633,207
  4. Step 4: Simplify right side
    405,761.25x = 400,951,104,849
  5. Step 5: Solve for x
    x = 400,951,104,849/405,761.25
  6. Step 6: Final answer
    x = 988,145.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.