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Finding the Third Proportional to 364,508 and 788,920

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Solution

The third proportional to 364,508 and 788,920 is: 1,707,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,508 : 788,920 = 788,920 : x
  2. Step 2: Convert to fraction form
    364,508/788,920 = 788,920/x
  3. Step 3: Cross multiply
    364,508x = 788,920 × 788,920
  4. Step 4: Simplify right side
    364,508x = 622,394,766,400
  5. Step 5: Solve for x
    x = 622,394,766,400/364,508
  6. Step 6: Final answer
    x = 1,707,492.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.