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Finding the Third Proportional to 406,188 and 628,630

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Solution

The third proportional to 406,188 and 628,630 is: 972,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,188 : 628,630 = 628,630 : x
  2. Step 2: Convert to fraction form
    406,188/628,630 = 628,630/x
  3. Step 3: Cross multiply
    406,188x = 628,630 × 628,630
  4. Step 4: Simplify right side
    406,188x = 395,175,676,900
  5. Step 5: Solve for x
    x = 395,175,676,900/406,188
  6. Step 6: Final answer
    x = 972,888.61

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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.