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Finding the Third Proportional to 385,729.50 and 790,251

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Solution

The third proportional to 385,729.50 and 790,251 is: 1,619,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,729.50 : 790,251 = 790,251 : x
  2. Step 2: Convert to fraction form
    385,729.50/790,251 = 790,251/x
  3. Step 3: Cross multiply
    385,729.50x = 790,251 × 790,251
  4. Step 4: Simplify right side
    385,729.50x = 624,496,643,001
  5. Step 5: Solve for x
    x = 624,496,643,001/385,729.50
  6. Step 6: Final answer
    x = 1,619,001.51

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Why These Related Problems?

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