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Finding the Third Proportional to 406,176.75 and 628,614.56

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Solution

The third proportional to 406,176.75 and 628,614.56 is: 972,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,176.75 : 628,614.56 = 628,614.56 : x
  2. Step 2: Convert to fraction form
    406,176.75/628,614.56 = 628,614.56/x
  3. Step 3: Cross multiply
    406,176.75x = 628,614.56 × 628,614.56
  4. Step 4: Simplify right side
    406,176.75x = 395,156,268,187.07
  5. Step 5: Solve for x
    x = 395,156,268,187.07/406,176.75
  6. Step 6: Final answer
    x = 972,867.77

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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.