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Finding the Third Proportional to 355,812 and 781,602

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Solution

The third proportional to 355,812 and 781,602 is: 1,716,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,812 : 781,602 = 781,602 : x
  2. Step 2: Convert to fraction form
    355,812/781,602 = 781,602/x
  3. Step 3: Cross multiply
    355,812x = 781,602 × 781,602
  4. Step 4: Simplify right side
    355,812x = 610,901,686,404
  5. Step 5: Solve for x
    x = 610,901,686,404/355,812
  6. Step 6: Final answer
    x = 1,716,922.66

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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.