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Finding the Third Proportional to 428,600 and 933,396

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Solution

The third proportional to 428,600 and 933,396 is: 2,032,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,600 : 933,396 = 933,396 : x
  2. Step 2: Convert to fraction form
    428,600/933,396 = 933,396/x
  3. Step 3: Cross multiply
    428,600x = 933,396 × 933,396
  4. Step 4: Simplify right side
    428,600x = 871,228,092,816
  5. Step 5: Solve for x
    x = 871,228,092,816/428,600
  6. Step 6: Final answer
    x = 2,032,730.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.