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Finding the Third Proportional to 179,967 and 391,002

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Solution

The third proportional to 179,967 and 391,002 is: 849,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,967 : 391,002 = 391,002 : x
  2. Step 2: Convert to fraction form
    179,967/391,002 = 391,002/x
  3. Step 3: Cross multiply
    179,967x = 391,002 × 391,002
  4. Step 4: Simplify right side
    179,967x = 152,882,564,004
  5. Step 5: Solve for x
    x = 152,882,564,004/179,967
  6. Step 6: Final answer
    x = 849,503.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.