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Finding the Third Proportional to 406,271 and 628,757

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Solution

The third proportional to 406,271 and 628,757 is: 973,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,271 : 628,757 = 628,757 : x
  2. Step 2: Convert to fraction form
    406,271/628,757 = 628,757/x
  3. Step 3: Cross multiply
    406,271x = 628,757 × 628,757
  4. Step 4: Simplify right side
    406,271x = 395,335,365,049
  5. Step 5: Solve for x
    x = 395,335,365,049/406,271
  6. Step 6: Final answer
    x = 973,082.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.