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Finding the Third Proportional to 355,816 and 781,610

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Solution

The third proportional to 355,816 and 781,610 is: 1,716,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,816 : 781,610 = 781,610 : x
  2. Step 2: Convert to fraction form
    355,816/781,610 = 781,610/x
  3. Step 3: Cross multiply
    355,816x = 781,610 × 781,610
  4. Step 4: Simplify right side
    355,816x = 610,914,192,100
  5. Step 5: Solve for x
    x = 610,914,192,100/355,816
  6. Step 6: Final answer
    x = 1,716,938.51

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Why These Related Problems?

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