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Finding the Third Proportional to 305,085 and 635,421

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Solution

The third proportional to 305,085 and 635,421 is: 1,323,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,085 : 635,421 = 635,421 : x
  2. Step 2: Convert to fraction form
    305,085/635,421 = 635,421/x
  3. Step 3: Cross multiply
    305,085x = 635,421 × 635,421
  4. Step 4: Simplify right side
    305,085x = 403,759,847,241
  5. Step 5: Solve for x
    x = 403,759,847,241/305,085
  6. Step 6: Final answer
    x = 1,323,433.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.