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Finding the Third Proportional to 435,422 and 640,329

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Solution

The third proportional to 435,422 and 640,329 is: 941,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,422 : 640,329 = 640,329 : x
  2. Step 2: Convert to fraction form
    435,422/640,329 = 640,329/x
  3. Step 3: Cross multiply
    435,422x = 640,329 × 640,329
  4. Step 4: Simplify right side
    435,422x = 410,021,228,241
  5. Step 5: Solve for x
    x = 410,021,228,241/435,422
  6. Step 6: Final answer
    x = 941,664.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.