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Finding the Third Proportional to 423,296 and 639,264

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Solution

The third proportional to 423,296 and 639,264 is: 965,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,296 : 639,264 = 639,264 : x
  2. Step 2: Convert to fraction form
    423,296/639,264 = 639,264/x
  3. Step 3: Cross multiply
    423,296x = 639,264 × 639,264
  4. Step 4: Simplify right side
    423,296x = 408,658,461,696
  5. Step 5: Solve for x
    x = 408,658,461,696/423,296
  6. Step 6: Final answer
    x = 965,420.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.