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Finding the Third Proportional to 386,389 and 829,909

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Solution

The third proportional to 386,389 and 829,909 is: 1,782,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,389 : 829,909 = 829,909 : x
  2. Step 2: Convert to fraction form
    386,389/829,909 = 829,909/x
  3. Step 3: Cross multiply
    386,389x = 829,909 × 829,909
  4. Step 4: Simplify right side
    386,389x = 688,748,948,281
  5. Step 5: Solve for x
    x = 688,748,948,281/386,389
  6. Step 6: Final answer
    x = 1,782,527.32

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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.