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Finding the Third Proportional to 159,799 and 355,069

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Solution

The third proportional to 159,799 and 355,069 is: 788,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,799 : 355,069 = 355,069 : x
  2. Step 2: Convert to fraction form
    159,799/355,069 = 355,069/x
  3. Step 3: Cross multiply
    159,799x = 355,069 × 355,069
  4. Step 4: Simplify right side
    159,799x = 126,073,994,761
  5. Step 5: Solve for x
    x = 126,073,994,761/159,799
  6. Step 6: Final answer
    x = 788,953.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.