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Finding the Third Proportional to 435,964.78 and 636,720.75

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Solution

The third proportional to 435,964.78 and 636,720.75 is: 929,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,964.78 : 636,720.75 = 636,720.75 : x
  2. Step 2: Convert to fraction form
    435,964.78/636,720.75 = 636,720.75/x
  3. Step 3: Cross multiply
    435,964.78x = 636,720.75 × 636,720.75
  4. Step 4: Simplify right side
    435,964.78x = 405,413,313,480.56
  5. Step 5: Solve for x
    x = 405,413,313,480.56/435,964.78
  6. Step 6: Final answer
    x = 929,922.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.