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Finding the Third Proportional to 155,924 and 217,242

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Solution

The third proportional to 155,924 and 217,242 is: 302,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,924 : 217,242 = 217,242 : x
  2. Step 2: Convert to fraction form
    155,924/217,242 = 217,242/x
  3. Step 3: Cross multiply
    155,924x = 217,242 × 217,242
  4. Step 4: Simplify right side
    155,924x = 47,194,086,564
  5. Step 5: Solve for x
    x = 47,194,086,564/155,924
  6. Step 6: Final answer
    x = 302,673.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.