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Finding the Third Proportional to 40,346 and 79,698

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Solution

The third proportional to 40,346 and 79,698 is: 157,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,346 : 79,698 = 79,698 : x
  2. Step 2: Convert to fraction form
    40,346/79,698 = 79,698/x
  3. Step 3: Cross multiply
    40,346x = 79,698 × 79,698
  4. Step 4: Simplify right side
    40,346x = 6,351,771,204
  5. Step 5: Solve for x
    x = 6,351,771,204/40,346
  6. Step 6: Final answer
    x = 157,432.49

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.