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Finding the Third Proportional to 389,294 and 836,784

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Solution

The third proportional to 389,294 and 836,784 is: 1,798,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,294 : 836,784 = 836,784 : x
  2. Step 2: Convert to fraction form
    389,294/836,784 = 836,784/x
  3. Step 3: Cross multiply
    389,294x = 836,784 × 836,784
  4. Step 4: Simplify right side
    389,294x = 700,207,462,656
  5. Step 5: Solve for x
    x = 700,207,462,656/389,294
  6. Step 6: Final answer
    x = 1,798,659.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.