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Finding the Third Proportional to 179,678 and 299,437

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Solution

The third proportional to 179,678 and 299,437 is: 499,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,678 : 299,437 = 299,437 : x
  2. Step 2: Convert to fraction form
    179,678/299,437 = 299,437/x
  3. Step 3: Cross multiply
    179,678x = 299,437 × 299,437
  4. Step 4: Simplify right side
    179,678x = 89,662,516,969
  5. Step 5: Solve for x
    x = 89,662,516,969/179,678
  6. Step 6: Final answer
    x = 499,017.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.