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Finding the Third Proportional to 363,834 and 788,409

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Solution

The third proportional to 363,834 and 788,409 is: 1,708,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,834 : 788,409 = 788,409 : x
  2. Step 2: Convert to fraction form
    363,834/788,409 = 788,409/x
  3. Step 3: Cross multiply
    363,834x = 788,409 × 788,409
  4. Step 4: Simplify right side
    363,834x = 621,588,751,281
  5. Step 5: Solve for x
    x = 621,588,751,281/363,834
  6. Step 6: Final answer
    x = 1,708,440.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.