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Finding the Third Proportional to 389,616 and 827,346

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Solution

The third proportional to 389,616 and 827,346 is: 1,756,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,616 : 827,346 = 827,346 : x
  2. Step 2: Convert to fraction form
    389,616/827,346 = 827,346/x
  3. Step 3: Cross multiply
    389,616x = 827,346 × 827,346
  4. Step 4: Simplify right side
    389,616x = 684,501,403,716
  5. Step 5: Solve for x
    x = 684,501,403,716/389,616
  6. Step 6: Final answer
    x = 1,756,861.64

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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.