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Finding the Third Proportional to 95,596 and 202,580

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Solution

The third proportional to 95,596 and 202,580 is: 429,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,596 : 202,580 = 202,580 : x
  2. Step 2: Convert to fraction form
    95,596/202,580 = 202,580/x
  3. Step 3: Cross multiply
    95,596x = 202,580 × 202,580
  4. Step 4: Simplify right side
    95,596x = 41,038,656,400
  5. Step 5: Solve for x
    x = 41,038,656,400/95,596
  6. Step 6: Final answer
    x = 429,292.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.