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Finding the Third Proportional to 195,642 and 428,787

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Solution

The third proportional to 195,642 and 428,787 is: 939,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,642 : 428,787 = 428,787 : x
  2. Step 2: Convert to fraction form
    195,642/428,787 = 428,787/x
  3. Step 3: Cross multiply
    195,642x = 428,787 × 428,787
  4. Step 4: Simplify right side
    195,642x = 183,858,291,369
  5. Step 5: Solve for x
    x = 183,858,291,369/195,642
  6. Step 6: Final answer
    x = 939,769.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.