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Finding the Third Proportional to 386,392 and 829,915

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Solution

The third proportional to 386,392 and 829,915 is: 1,782,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,392 : 829,915 = 829,915 : x
  2. Step 2: Convert to fraction form
    386,392/829,915 = 829,915/x
  3. Step 3: Cross multiply
    386,392x = 829,915 × 829,915
  4. Step 4: Simplify right side
    386,392x = 688,758,907,225
  5. Step 5: Solve for x
    x = 688,758,907,225/386,392
  6. Step 6: Final answer
    x = 1,782,539.25

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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.