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Finding the Third Proportional to 423,284 and 639,246

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Solution

The third proportional to 423,284 and 639,246 is: 965,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,284 : 639,246 = 639,246 : x
  2. Step 2: Convert to fraction form
    423,284/639,246 = 639,246/x
  3. Step 3: Cross multiply
    423,284x = 639,246 × 639,246
  4. Step 4: Simplify right side
    423,284x = 408,635,448,516
  5. Step 5: Solve for x
    x = 408,635,448,516/423,284
  6. Step 6: Final answer
    x = 965,393.09

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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.