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Finding the Third Proportional to 639,420 and 954,735

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Solution

The third proportional to 639,420 and 954,735 is: 1,425,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,420 : 954,735 = 954,735 : x
  2. Step 2: Convert to fraction form
    639,420/954,735 = 954,735/x
  3. Step 3: Cross multiply
    639,420x = 954,735 × 954,735
  4. Step 4: Simplify right side
    639,420x = 911,518,920,225
  5. Step 5: Solve for x
    x = 911,518,920,225/639,420
  6. Step 6: Final answer
    x = 1,425,540.21

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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.