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Finding the Third Proportional to 202,592 and 434,719

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Solution

The third proportional to 202,592 and 434,719 is: 932,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,592 : 434,719 = 434,719 : x
  2. Step 2: Convert to fraction form
    202,592/434,719 = 434,719/x
  3. Step 3: Cross multiply
    202,592x = 434,719 × 434,719
  4. Step 4: Simplify right side
    202,592x = 188,980,608,961
  5. Step 5: Solve for x
    x = 188,980,608,961/202,592
  6. Step 6: Final answer
    x = 932,813.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.