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Finding the Third Proportional to 380,072 and 802,864

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Solution

The third proportional to 380,072 and 802,864 is: 1,695,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,072 : 802,864 = 802,864 : x
  2. Step 2: Convert to fraction form
    380,072/802,864 = 802,864/x
  3. Step 3: Cross multiply
    380,072x = 802,864 × 802,864
  4. Step 4: Simplify right side
    380,072x = 644,590,602,496
  5. Step 5: Solve for x
    x = 644,590,602,496/380,072
  6. Step 6: Final answer
    x = 1,695,969.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.