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Finding the Third Proportional to 408,258 and 533,655

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Solution

The third proportional to 408,258 and 533,655 is: 697,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,258 : 533,655 = 533,655 : x
  2. Step 2: Convert to fraction form
    408,258/533,655 = 533,655/x
  3. Step 3: Cross multiply
    408,258x = 533,655 × 533,655
  4. Step 4: Simplify right side
    408,258x = 284,787,659,025
  5. Step 5: Solve for x
    x = 284,787,659,025/408,258
  6. Step 6: Final answer
    x = 697,567.86

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.