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Finding the Third Proportional to 390,626 and 836,548

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Solution

The third proportional to 390,626 and 836,548 is: 1,791,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,626 : 836,548 = 836,548 : x
  2. Step 2: Convert to fraction form
    390,626/836,548 = 836,548/x
  3. Step 3: Cross multiply
    390,626x = 836,548 × 836,548
  4. Step 4: Simplify right side
    390,626x = 699,812,556,304
  5. Step 5: Solve for x
    x = 699,812,556,304/390,626
  6. Step 6: Final answer
    x = 1,791,515.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.