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Finding the Third Proportional to 390,696 and 802,104

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Solution

The third proportional to 390,696 and 802,104 is: 1,646,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,696 : 802,104 = 802,104 : x
  2. Step 2: Convert to fraction form
    390,696/802,104 = 802,104/x
  3. Step 3: Cross multiply
    390,696x = 802,104 × 802,104
  4. Step 4: Simplify right side
    390,696x = 643,370,826,816
  5. Step 5: Solve for x
    x = 643,370,826,816/390,696
  6. Step 6: Final answer
    x = 1,646,730.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.