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Finding the Third Proportional to 179,140 and 391,028

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Solution

The third proportional to 179,140 and 391,028 is: 853,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,140 : 391,028 = 391,028 : x
  2. Step 2: Convert to fraction form
    179,140/391,028 = 391,028/x
  3. Step 3: Cross multiply
    179,140x = 391,028 × 391,028
  4. Step 4: Simplify right side
    179,140x = 152,902,896,784
  5. Step 5: Solve for x
    x = 152,902,896,784/179,140
  6. Step 6: Final answer
    x = 853,538.56

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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.