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Finding the Third Proportional to 390,690 and 802,116

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Solution

The third proportional to 390,690 and 802,116 is: 1,646,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,690 : 802,116 = 802,116 : x
  2. Step 2: Convert to fraction form
    390,690/802,116 = 802,116/x
  3. Step 3: Cross multiply
    390,690x = 802,116 × 802,116
  4. Step 4: Simplify right side
    390,690x = 643,390,077,456
  5. Step 5: Solve for x
    x = 643,390,077,456/390,690
  6. Step 6: Final answer
    x = 1,646,804.57

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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.