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Finding the Third Proportional to 140,556 and 217,403.25

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Solution

The third proportional to 140,556 and 217,403.25 is: 336,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,556 : 217,403.25 = 217,403.25 : x
  2. Step 2: Convert to fraction form
    140,556/217,403.25 = 217,403.25/x
  3. Step 3: Cross multiply
    140,556x = 217,403.25 × 217,403.25
  4. Step 4: Simplify right side
    140,556x = 47,264,173,110.56
  5. Step 5: Solve for x
    x = 47,264,173,110.56/140,556
  6. Step 6: Final answer
    x = 336,265.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.