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Finding the Third Proportional to 408,281 and 612,829

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Solution

The third proportional to 408,281 and 612,829 is: 919,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,281 : 612,829 = 612,829 : x
  2. Step 2: Convert to fraction form
    408,281/612,829 = 612,829/x
  3. Step 3: Cross multiply
    408,281x = 612,829 × 612,829
  4. Step 4: Simplify right side
    408,281x = 375,559,383,241
  5. Step 5: Solve for x
    x = 375,559,383,241/408,281
  6. Step 6: Final answer
    x = 919,855.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.