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Finding the Third Proportional to 385,729 and 790,250

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Solution

The third proportional to 385,729 and 790,250 is: 1,618,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,729 : 790,250 = 790,250 : x
  2. Step 2: Convert to fraction form
    385,729/790,250 = 790,250/x
  3. Step 3: Cross multiply
    385,729x = 790,250 × 790,250
  4. Step 4: Simplify right side
    385,729x = 624,495,062,500
  5. Step 5: Solve for x
    x = 624,495,062,500/385,729
  6. Step 6: Final answer
    x = 1,618,999.51

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.