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Finding the Third Proportional to 179,772 and 391,716

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Solution

The third proportional to 179,772 and 391,716 is: 853,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,772 : 391,716 = 391,716 : x
  2. Step 2: Convert to fraction form
    179,772/391,716 = 391,716/x
  3. Step 3: Cross multiply
    179,772x = 391,716 × 391,716
  4. Step 4: Simplify right side
    179,772x = 153,441,424,656
  5. Step 5: Solve for x
    x = 153,441,424,656/179,772
  6. Step 6: Final answer
    x = 853,533.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.