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Finding the Third Proportional to 94,396 and 202,780

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Solution

The third proportional to 94,396 and 202,780 is: 435,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,396 : 202,780 = 202,780 : x
  2. Step 2: Convert to fraction form
    94,396/202,780 = 202,780/x
  3. Step 3: Cross multiply
    94,396x = 202,780 × 202,780
  4. Step 4: Simplify right side
    94,396x = 41,119,728,400
  5. Step 5: Solve for x
    x = 41,119,728,400/94,396
  6. Step 6: Final answer
    x = 435,608.80

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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.