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Finding the Third Proportional to 432,682 and 645,422

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Solution

The third proportional to 432,682 and 645,422 is: 962,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,682 : 645,422 = 645,422 : x
  2. Step 2: Convert to fraction form
    432,682/645,422 = 645,422/x
  3. Step 3: Cross multiply
    432,682x = 645,422 × 645,422
  4. Step 4: Simplify right side
    432,682x = 416,569,558,084
  5. Step 5: Solve for x
    x = 416,569,558,084/432,682
  6. Step 6: Final answer
    x = 962,761.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.