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Finding the Third Proportional to 389,634 and 837,534

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Solution

The third proportional to 389,634 and 837,534 is: 1,800,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,634 : 837,534 = 837,534 : x
  2. Step 2: Convert to fraction form
    389,634/837,534 = 837,534/x
  3. Step 3: Cross multiply
    389,634x = 837,534 × 837,534
  4. Step 4: Simplify right side
    389,634x = 701,463,201,156
  5. Step 5: Solve for x
    x = 701,463,201,156/389,634
  6. Step 6: Final answer
    x = 1,800,313.12

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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.