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Finding the Third Proportional to 389,614 and 827,342

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Solution

The third proportional to 389,614 and 827,342 is: 1,756,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,614 : 827,342 = 827,342 : x
  2. Step 2: Convert to fraction form
    389,614/827,342 = 827,342/x
  3. Step 3: Cross multiply
    389,614x = 827,342 × 827,342
  4. Step 4: Simplify right side
    389,614x = 684,494,784,964
  5. Step 5: Solve for x
    x = 684,494,784,964/389,614
  6. Step 6: Final answer
    x = 1,756,853.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.