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Finding the Third Proportional to 386,364 and 829,356

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Solution

The third proportional to 386,364 and 829,356 is: 1,780,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,364 : 829,356 = 829,356 : x
  2. Step 2: Convert to fraction form
    386,364/829,356 = 829,356/x
  3. Step 3: Cross multiply
    386,364x = 829,356 × 829,356
  4. Step 4: Simplify right side
    386,364x = 687,831,374,736
  5. Step 5: Solve for x
    x = 687,831,374,736/386,364
  6. Step 6: Final answer
    x = 1,780,267.76

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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.