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Finding the Third Proportional to 390,522 and 804,366

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Solution

The third proportional to 390,522 and 804,366 is: 1,656,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,522 : 804,366 = 804,366 : x
  2. Step 2: Convert to fraction form
    390,522/804,366 = 804,366/x
  3. Step 3: Cross multiply
    390,522x = 804,366 × 804,366
  4. Step 4: Simplify right side
    390,522x = 647,004,661,956
  5. Step 5: Solve for x
    x = 647,004,661,956/390,522
  6. Step 6: Final answer
    x = 1,656,768.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.