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Finding the Third Proportional to 389,909 and 829,012

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Solution

The third proportional to 389,909 and 829,012 is: 1,762,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,909 : 829,012 = 829,012 : x
  2. Step 2: Convert to fraction form
    389,909/829,012 = 829,012/x
  3. Step 3: Cross multiply
    389,909x = 829,012 × 829,012
  4. Step 4: Simplify right side
    389,909x = 687,260,896,144
  5. Step 5: Solve for x
    x = 687,260,896,144/389,909
  6. Step 6: Final answer
    x = 1,762,618.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.