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Finding the Third Proportional to 355,829 and 781,642

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Solution

The third proportional to 355,829 and 781,642 is: 1,717,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,829 : 781,642 = 781,642 : x
  2. Step 2: Convert to fraction form
    355,829/781,642 = 781,642/x
  3. Step 3: Cross multiply
    355,829x = 781,642 × 781,642
  4. Step 4: Simplify right side
    355,829x = 610,964,216,164
  5. Step 5: Solve for x
    x = 610,964,216,164/355,829
  6. Step 6: Final answer
    x = 1,717,016.37

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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.