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Finding the Third Proportional to 388,739 and 852,214

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Solution

The third proportional to 388,739 and 852,214 is: 1,868,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,739 : 852,214 = 852,214 : x
  2. Step 2: Convert to fraction form
    388,739/852,214 = 852,214/x
  3. Step 3: Cross multiply
    388,739x = 852,214 × 852,214
  4. Step 4: Simplify right side
    388,739x = 726,268,701,796
  5. Step 5: Solve for x
    x = 726,268,701,796/388,739
  6. Step 6: Final answer
    x = 1,868,268.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.