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Finding the Third Proportional to 408,276 and 533,679

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Solution

The third proportional to 408,276 and 533,679 is: 697,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,276 : 533,679 = 533,679 : x
  2. Step 2: Convert to fraction form
    408,276/533,679 = 533,679/x
  3. Step 3: Cross multiply
    408,276x = 533,679 × 533,679
  4. Step 4: Simplify right side
    408,276x = 284,813,275,041
  5. Step 5: Solve for x
    x = 284,813,275,041/408,276
  6. Step 6: Final answer
    x = 697,599.85

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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.