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Finding the Third Proportional to 406,273 and 628,760

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Solution

The third proportional to 406,273 and 628,760 is: 973,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,273 : 628,760 = 628,760 : x
  2. Step 2: Convert to fraction form
    406,273/628,760 = 628,760/x
  3. Step 3: Cross multiply
    406,273x = 628,760 × 628,760
  4. Step 4: Simplify right side
    406,273x = 395,339,137,600
  5. Step 5: Solve for x
    x = 395,339,137,600/406,273
  6. Step 6: Final answer
    x = 973,087.40

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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.