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Finding the Third Proportional to 355,827 and 781,638

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Solution

The third proportional to 355,827 and 781,638 is: 1,717,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,827 : 781,638 = 781,638 : x
  2. Step 2: Convert to fraction form
    355,827/781,638 = 781,638/x
  3. Step 3: Cross multiply
    355,827x = 781,638 × 781,638
  4. Step 4: Simplify right side
    355,827x = 610,957,963,044
  5. Step 5: Solve for x
    x = 610,957,963,044/355,827
  6. Step 6: Final answer
    x = 1,717,008.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.