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Finding the Third Proportional to 140,416 and 223,206

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Solution

The third proportional to 140,416 and 223,206 is: 354,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,416 : 223,206 = 223,206 : x
  2. Step 2: Convert to fraction form
    140,416/223,206 = 223,206/x
  3. Step 3: Cross multiply
    140,416x = 223,206 × 223,206
  4. Step 4: Simplify right side
    140,416x = 49,820,918,436
  5. Step 5: Solve for x
    x = 49,820,918,436/140,416
  6. Step 6: Final answer
    x = 354,809.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.