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Finding the Third Proportional to 406,211.76 and 628,664.26

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Solution

The third proportional to 406,211.76 and 628,664.26 is: 972,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,211.76 : 628,664.26 = 628,664.26 : x
  2. Step 2: Convert to fraction form
    406,211.76/628,664.26 = 628,664.26/x
  3. Step 3: Cross multiply
    406,211.76x = 628,664.26 × 628,664.26
  4. Step 4: Simplify right side
    406,211.76x = 395,218,746,595.20
  5. Step 5: Solve for x
    x = 395,218,746,595.20/406,211.76
  6. Step 6: Final answer
    x = 972,937.73

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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.