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Finding the Third Proportional to 202,698 and 434,915

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Solution

The third proportional to 202,698 and 434,915 is: 933,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,698 : 434,915 = 434,915 : x
  2. Step 2: Convert to fraction form
    202,698/434,915 = 434,915/x
  3. Step 3: Cross multiply
    202,698x = 434,915 × 434,915
  4. Step 4: Simplify right side
    202,698x = 189,151,057,225
  5. Step 5: Solve for x
    x = 189,151,057,225/202,698
  6. Step 6: Final answer
    x = 933,166.87

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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.