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Finding the Third Proportional to 802,212 and 1,711,176

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Solution

The third proportional to 802,212 and 1,711,176 is: 3,650,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,212 : 1,711,176 = 1,711,176 : x
  2. Step 2: Convert to fraction form
    802,212/1,711,176 = 1,711,176/x
  3. Step 3: Cross multiply
    802,212x = 1,711,176 × 1,711,176
  4. Step 4: Simplify right side
    802,212x = 2,928,123,302,976
  5. Step 5: Solve for x
    x = 2,928,123,302,976/802,212
  6. Step 6: Final answer
    x = 3,650,061.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.