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Finding the Third Proportional to 179,658 and 299,411

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Solution

The third proportional to 179,658 and 299,411 is: 498,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,658 : 299,411 = 299,411 : x
  2. Step 2: Convert to fraction form
    179,658/299,411 = 299,411/x
  3. Step 3: Cross multiply
    179,658x = 299,411 × 299,411
  4. Step 4: Simplify right side
    179,658x = 89,646,946,921
  5. Step 5: Solve for x
    x = 89,646,946,921/179,658
  6. Step 6: Final answer
    x = 498,986.67

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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.